My husband and I both went on it on our last trip. When I got off I felt a little disoriented but that was normal roller coaster stuff that went away right away. My husband however said he felt sick.
The ride itself was fun. It reminded me of the Gravitron ride I often see at carnivals. That's what it felt like physically, but you had no way of knowing that you were spinning. It was neat to get to be part of a four person team to "fly" the space ship.
I'd say if you are prone to motion sickness, don't ride it. If you aren't sure, wait until the end of the day, that way if you get sick then it won't ruin your day.
I like to ride everything at least once, so as long as you don't think you'll get sick mid-ride or have any of the other medical conditions they list, then go for it.