6 liter V8 Chevy Vortec question

I ran a 2004 6.0 gasser with a tc all loaded was approx 10,700 and had zero issues hauling up hills and that was a 4 spd tranny. The newer 6.0 has more hp, more tranny gears and a 4.56 rear.
I towed 2500# utility trailer and that was fine too. Expect it to rev high going up steep grades, that 6.0 is built to scream, you wont hurt it.