It does not send any MIDI data that could be captured by Logic as part of the performance.
So, I guess, then, I would need to make a copy of the preset used, and change the modifiers around to accept MIDI from Logic to control things, then, if Logic controlling the AxeFX and doing sound changes in the AxeFX was needed? I have, at least, figured out how to get tempo to sync, so delays and other tempo-synced stuff can work.
I guess for reamping, this would be a way of evolving the preset used into a way of capturing the sound pallette that was eventually settled upon as a new preset for that particular song/track, which could be saved with the Logic files bundle for that tune. Then, for performance, a copy of the new preset could be adjusted to accept FC control.
I guess Scene MIDI could send Logic a MIDI scene-change command to record, so that it could then change scenes, and a CS MIDI could contain a command to indicate a control switch was activated, but that leaves Effect on/off and many other functions with no way of telling downstream equipment to do stuff too, and controller knobs/pedals are also unable to function this way, too.
Still, it seems like it would be more helpful if hitting a button or moving a pedal/knob attached to the FC could be used as a way of controlling downstream equipment somehow, like could be done with the old MIDI stuff.