Jeff,
The "alternator thing" can be very real. For example, the generator provided as original equipment on my old Cub was a 12 amp generator. Turn on anything electrical to speak of, beyond the one radio, and there was a net drain on the battery. Using landing lights for more than a few moments was out of the question.
Then again, there are higher capacity generators as well, and if he has one of those, for example a 30 or 40 amp generator, as you note, it should do fine. Generators do have some advantages, as a matter of fact. For example, if you ever have a totally dead battery, and get the engine running by hand, the generator will recharge the battery. If you have an alternator in that instance, it'll never re-charge the battery, since the alternator requires field current from a battery to charge.
On the other hand, the advantage of alternators is that their charge rate is much less related to engine speed (they'll charge at low rpm, which a generator won't) and they are typically much lighter, for the output provided.
You're right, IF he got something more than a 12 amp generator. If he got one of those, he just isn't going to ever use much electrical stuff.
Mike Vivion