Hi,
Stubai in October is busy but otherwise great. There are five other ski areas in the valley, none of which are glacial, so are consequently closed, hence the business of Stubai Glacier.
Despite the business it is a great place to ski. The staff are friendly, the terrain is pretty extensive and great for intermediates.
The only issue has been the number of race training groups and the speed with which they ski on intermediate terrain on their way back to the cafe for lunch. Fortunately, they're all awesome skiers so no collisions have been seen by ourselves.
As for falling in crevasses, that is simply not going to happen provided you stay on the marked runs. Crevasses form on convexities, and even then only on fairly major ones. The topography and layout of marked runs makes it highly unlikely that anything is going to open up on the runs themselves. Off the groomers though there is tons to fall in.

I know that most North Americans are used to a roped boundary all the way round a ski area and around any hazards. That is not how it works in Europe. It is probable that the poor guy who fell in a crevasse was skiing off a marked run, and simply didn't get that some dangers off the groomers go unmarked. He probably thought that as he hadn't ducked a rope he was on controlled terrain. It's a very understandable mistake for a North American to make.

Personally, and I know I speak for most professional skiers, I hope Europe continues to place a little of the responsibility for skier safety on the skier themselves.