uniwelder - That was exactly my logic. Both styles are indeed 4 wire (1 ground, 1 neutral, 2 hot), and the cord does indeed go to a 30 amp breaker.
As far as whether it's too much load on the generator itself, it's supporting the same items it supported at our last house via 3 heavier duty extension cords (and a power strip or 2), but with the addition of the full lighting system in the house (instead of a few strategically placed lamps). Given literally every light fixture in our house is now LED, I'm thinking the load from also having the lights is basically negligible.