OK, after giving the Installation chapter a once-over, I got the Microlynx to give me back a readout of the supported machines, and the machines I'm wanting to sync all had an individual menu listing (Alesis AI-2, Tascam MSR-16, and Otari MX-5050 Mk 3). Yee-Haw! I also managed to pop the lid and check the EPROM versions.
Here are the specs:
System Unit
Chassis Serial Number: 1537 (newer metalwork than serial #1024)
Installed Options: 
1. VSG - Video Sync Generator Daughterboard 
2. M3 - Third Transport Option Card
3. ACG-2 - Audio Clock Generator Option Card w/Wordclock, Superclock, AES/EBU (on   
               9-pin D-sub connector)
Motherboard- ASSY #70C021, Rev. 3B, Serial #1541 PCB #55A022, Rev. B
EPROMs: CP-1.34 (factory-labeled TimeLine copyright 1992), 2 of MC-1.33 (same date 
             on label), U19 = 76E001, Rev. H
Other Socketed IC's: U64, U65, U66, U67 = TCP627-4
Backup Battery (BT1) = Hitachi/Maxell Super Lithium ER-3 (1/2AA), 3.6Vdc, Axial 
                                 Lead (~30mm spacing), PCB Mount, 
                                 Body Dimensions: Diameter~14mm, Length~23mm
Microcontroller IC's: U15, U34, U37 - Siemens SAB 80C537-N, 8-bit CMOS 
                            microcontroller. Its presence in certain PCB quadrants, and 
                            proximity to apparently companion devices (the Xilinx XC 3020-70 
                            FPGA IC's, for example) suggests that every Transport Control Port 
                            needs one (U34 for Transport Port 1, U37 for Transport Port 2), 
                            and that there is a "Master Processor" that controls the whole 
                            System (U15).
Identity Redacted IC's = U22, U24 =14 pin Small Outline Integrated Circuits (SOIC)
                                 surface-mounted to the PCB. Their identifying numbers have 
                                 been abrasively or chemically "scrubbed" off, although they 
                                 still have a printed mounting-orientation mark that looks 
                                 identical to a nearby identically-packaged Motorola device, a 
                                 4046 IC. I therefor suspect that they are Motorola IC's,  
                                 possibly from the same logic/function family.  
Backplane I/O Daughterboard - ASSY #70C022, Rev. 2E, Serial #1546
          Note: Has installed Kynar-style wire jumpers, visible on solder side of PCB with 
                  chassis lid removed.
                  Jumper quantity: 4 insulated (black), 3 un-insulated. Believed to be  
                  consistent with Service Bulletin #SB 92-009- "Computer Mac and MIDI I/F" 
                  Mod for Mac connectors J9, J10: Cut trace on component side of PCB (see 
                  Fig.2 in S.B.), Insulated Jumper wires added per Figure 3 in S.B. Unit has 
                  optional "Time Code Out and Aux Out" Mod Jumper wires (un-insulated) 
                  added between Ring and Sleeve terminal pins per each respective jack 
                  (see S.B. Figure 3) all called out in SB 92-009.
                  
                  Additionally, it has the following PCB mods:
                  1. Backplane Ground trace cut (solder side) between MIDI IN Jack (J6) 
                     and AUX REF OUT (J6). Probably performed to separate Analog and 
                     Digital Ground.
                  2. Trace cut on component side formerly connecting pin 11 of 50 pin 
                      Ribbon Connector to Ring pad of AUX REF OUT.
                  3. Insulated Jumper wire added between Tip Pad of AUX REF OUT and pin 
                     12 of 50 pin Ribbon Connector.
                  4. Trace cut on solder side formerly connecting pad of TC OUT (J3) 
                      through a Trace Via to pin 11 of 50 pin Ribbon Connector. Insulated 
                      Jumper wire added to take its place from Trace Via to Tip Pad of J3.
                  5. Un-insulated Jumper wire added to solder side between Sleeve Pad of 
                      TCR1 IN (J1) and Trace Via that connects to Analog Ground trace of 
                      backplane near E1 Test Point. This compensates for the Analog and 
                      Digital separation procedure in Mod 1 above.   
                  
VSG Option Daughterboard - ASSY #70C025, Rev. 4, Serial #634
M3 Option Card - Machine Expansion ASSY #70C023, Rev. 1E, Serial #230605
EPROMs: MC-1.33 (factory-labeled TimeLine copyright 1992) (U4), 76603 (U9) - Xilinx 
            #1736 DCP for Xilinx XC3030-70 FPGA
Other Socketed IC's: U24, U25 = TCP627-4
ACG-2 Option Card - ASSY #70C026, Rev.3, Serial #261277, PCB #55A026, Rev. 
                                     C1
                                     Note: PCB printing also refers to an alternate assembly 
                                     number, probably referring to another destination device.
                                     That number was ASSY #70C030, but was "blacked out" by
                                     something like a "Sharpie" marker.
EPROMs: ACG-1.33 (U12), 26202-A (U13)- actually not an EPROM, but a re-
             programmable Generic Array Logic device, the Lattice #GAL20v88 in a 28 pin
             square, Plastic Leaded Chip Carrier (PLCC) surface mounted to the PCB.
Special Device Packages: The actual Audio Clock Generator "module", with a full , 
                                   module-specific ground plane on the bottom of the PCB.
                                   This module is in a "full metal jacket" type EMI shield, which 
                                   is soldered to the PCB (possibly after the clocking 
                                   components are mounted). The module is relatively large 
                                  (~2" X 2") and has its own label, which reads:
                                          "        TimeLine Audio Clock Generator
                                   Ultra-Low Jitter Word Clock and Oversample Clock Outputs
                                   High Precision Programmable Sample Rate Ratio
                                                             62D027"
Micro-controller IC's: Siemens SAB 80C537-N, 8-bit CMOS microcontroller
Special Jumper Note: There is a 100 mil pin pitch "header" style 3-pin male Jumper 
                              Block (J2) soldered to the PCB. It is PCB Print ID'd with "EDGE  
                              SEL" The included jumper is mounted to connect pin 1 to pin 2. 
                              Make sure this jumper is present for working units, as it is 
                              possible that clock timing errors could occur without it.  
Identity Redacted IC's: U3, U8, U9, U16 - identical 14-pin package types to the 
                              "scrubbed" IC's on the motherboard. I therefore suspect that they 
                               are Motorola devices.