Problem with generators, and mine is a honda eu2000i, is there is no earth ground and the EMS detects this and shuts down current to the TT. There is way you trick the EMS by tying the ground and neutral together with a easily made pigtail -- however I don't do this. I simply chose not to use my portable SurgeGuard EMS with my generator. A buddy who has a hard wired EMS simply uses the bypass function with his EU3000.
So basically no they aren't compatible with generators, but there are work arounds. Personally I trust the voltage coming from my Honda and small not worried...but I also don't let it run till the fuel tank is empty while powering my TT. Doing this I believe can cause voltage spikes.