For even a little more clarification, Dolby NR is *kind of* like a multi-band compressor, but differs in the detail that it performs upward compression in the encoding (pre-emphasis) stage, as opposed to the downward compression of a typical MBC. Also, I rather doubt - though I cannot rightly say for sure - that Focusrite would be emulating pro Dolby A encoding with their setting, but rather more likely the early consumer Dolby B, as that is the one far most commonly used with the decode off on encoded cassettes.
As far as how exciters work, it depends upon the brand. Aphex lets you select a reltively high frequency band and then uses a non-linear algorithm to add/boost some low-order (2nd and 3rd mostly) harmonics for that part of the spectrum, and compress those harmonics for further emphasis, and then add those back to the original signal. While tubes do add their distortion non-linearly also, it is not really a tube emulation.
BBE uses dynamic equalization (not completly unlike Dolby) and also plays with phase alignment of the enhanced part of the signal in relation to the original.
There are others that all pretty much circle around those basics of dynamic EQ, harmonic enhancement and/or phase realignment in various combinations and ways that allow them not to step on each other's patents.
G.