there is a difference between taking a long time to get acclimated to altitude and climbing in a plane at least 1000 fpm depending on which one they are in. plus, you are probably in better shape than some of the people doing a once in a lifetime skydive.
typically I think they will take people to 12,500 MSl (about 9,000') above the ground here in CO. a lot of it here depends on the weather/clouds and the pilot.
I know they will take people up to 18,000 MSL if the weather conditions are right.