That's pretty accurate. There are a few sort of "fringe" tropicals and hardwoods like Bocote and some Rosewoods, Ebonies and other varieties that can still benefit from stabilization, but it's a sort of hit and miss situation depending on the specific situation. It's mostly about how oily and/or porous the wood is. I haven't found a situation where it hurts anything per se, but there are lots of cases where it just doesn't or wouldn't take if you tried to stabilize certain types of woods.
Dale