Hey Tex, skippy covered the on-board mute scene automation for you. Yes, it can chase to time code which is cool.
The only drawback is that the on-board mute scene automation can only store 100 mute scenes to time code. This is okay if you just need to mute some general stuff, like all the drums in a break, etc...But let's say you want to mute the vocals in between every line, well, you would blow through those 100 storable scenes in a hurry! In addition, it would be very time consuming to set up.
What is nice about the Ghost is that it can work with a midi sequencer!

Then you can use "dynamic mute automation", which means that you can mute channels at any point at will and have it store to the sequencer. You can still set up mute scenes, and while "recording" the mutes/unmutes to the sequencer, you can mute/unmute the vocal at will, and it will get recorded. If that is the type of mute automation you want/need, then the Ghost can do it just fine, you just need a midi sequencer (hardware or software....) If you use software, then you can of course do direct editing to the midi, which could of course save you a lot of time editing the start/stop times of the mutes. On some stuff, I like very tight mutes. On other things, I don't need it too tight.
I would suggest doing dynamic mute automation. If you have a computer with midi sequencing software and the proper I/O on a sound card, this is well worth it! Not only do you have more mute automation you can do, but it will wind up allowing you to work more efficiently in the end, once you get your "system" down.
USE YOUR MUTE AUTOMATION!!! DON'T be lazy about using it! Mute ANY channel that is not currently in use and unmute it when audio is present on that channel. I have found that this cleans up recordings quite a bit! It doesn't matter that there is not noise on the recorder, it is about quieting the channels on the console when no audio is present on them. The accumalitive noise of say 8 channels being unmuted with no audio present can be surprising!
Have fun.
Ed