wifes 01 has 165...just startin to address a few minor issues.
Other than whats mentioned above, the tranny is known to have heeat issues if you tow much, though being an off road additiona it may have the auxiliary cooler, which helps a little bit.
Also there is a known issue on the 5.3 where the o ring at the oil pump neck leaks and causes a loss of oil pressure. Not a huge deal if caught, if not the low oil pressure can take out the engine.
One final thing to add, the seatlerships are damn near giving away the new ones to anyone with good credit, I do not encourage purchasing a new one, but just know that the new car price cut will trickle down to use car pricing in the next ~6months. IOW you need to be paying under KBB private party by in my estimation 10-15%