With the important exception that it probably gives out certain artifacts, either dropping on the corpse or dropping on the ground near the corpse.
But yeah, the loot for all Renowneds is the same as the creature they are based on.
It's just that the time to loot ratio is even worse for the Renowneds of the Cavern than for others, so it's more obvious than others, and tends to be the source of more complaints.
Sadly, the team has taken this to mean that the Renowneds of the Cavern are the only ones that have the issue; which is so beyond not true that it's almost funny.
-Galen's player