The 2500HD 6.0 LQ4 on this generation was factory rated at 300HP, which I believe was "detuned" from the factory. Most likely because they knew these trucks were going to be worked hard towing and hauling as work trucks.
The exact same LQ4 on the 2500 Suburbans was rated at 325HP. I've never looked at what the differences are on the tune. GM would sometimes just limit the RPM on the tune on certain vehicles, to keep the HP rating lower.
That's why the folks that get an aftermarket tune like Black Bear on their 2500HD always note that the tune really wakes up the engine...
As long as the transmission can support the extra power from tune: tune away