"Technically it works, but if the AHJ asks if the 2-pole breaker is intended, and UL Listed, to protect a line-to-neutral load you may have a tough time answering."
What? With the NEC requiring multi-wire branch circuits to all trip together, it's impossible to argue that any multi-pole breaker is NOT approved for line-to-neutral loads.
Not sure how the GE product is wired, but unless you pull another complete circuit for the GFCI, I'd say it sure sounds like they're putting a receptacle on a circuit that serves fixed equipment. I can't imagine UL listing something prohibited by code.
I'll have to look at 210.23(A)(2). Considering all the gas appliances that use a simple cord & plug to feed their igniters, fans, etc., I again have a problem with an overly broad application of this idea.