If you've got the time and patience, try it. There's lots of people who would be interested in what you find.
I've shot plenty of groups with less fancy PCPs which were so tight as to be beyond meaningful improvement. Lots of people seem to do just fine at benchrest with S400 variants. I doubt removing the stabilizer will affect the accuracy, it's just a question of what the gun feels like to shoot afterwards. They just feel so good.
If you think the trade off, gaining simplicity and potential reliability for a less refined firing cycle, is worth it then that's your call.