I would of assumed a generator is running under a load for a house continuously, in an emergency situation. Or at least wire it accordingly.
In the context of 215.2(A)(1), it is the loads that must be determined to be "continuous," not the generator (although it would be unlikely to taxed to run at 100% output power for 3 hours uninterrupted). About the only continuous loads in a house are lights if you leave them on for 3 hours or more (but that's usually a small load) or an EVSE.
Anyway, the only thing we know about the generator in the OP is that there is a "50A generator hookup". Presumably that means a 50A OCPD is involved, and thus the generator hookup has a maximum capacity of 9.6 kW continuous or 12 kW non-continuous. As long as the generator's ratings don't exceed those ratings, the generator will be the limiting factor.
Cheers, Wayne