For some closure on this:
Got an answer yesterday; good to know they still answer emails on weekends. In general a great company to deal with.
Bottom line, although the wired version has the receiver module under the seat, with the wired, they strongly recommend it be in the vest pocket.
Reasons include:
1) heat from the bike can cause wiring or the rubber on the cover to fail,
2) unless it is wired through a "ignition-only" on switch, it always draws some power, and
3) some folks (knuckleheads, I assume) have damaged the receiver module by an interference with the seat.

If you have a few bikes you use with electrics, the wired is definitely the way to go; you just plug into a single power lead, and the vest and gloves are always connected to and powered by the receiver in your pocket.
However, if you have both wired and wireless electric controls, switching from bike to bike would require unplugging the vest/gloves from the receiver in the vest pocket, and plugging into the connections on the bike. Not hard, but a bit more hassle EVERY TIME you switch.
Bottom line, it appears to work either way. Their recommendations for "in the vest" are definitely easier with multiple bikes; but also appear to be intended to ward off warranty claims from knuckleheads...