The quick and dirty way to check if it's the issue would be to rename your settings folder in your AHIII folder, then start the game and launch the plane and see if the problem persists. If it fixes it, something's up with your AH3 settings.
If it doesn't fix it, do you have the SST software even installed? If you do, at the bottom right by your clock there will be a small icon that looks like the throttle of the X52. If it's got a yellow (or green? sorry colorblind) box around it, you have a profile loaded. Right click on that icon and click on "clear profile" then try running the game again and test to see if that fixes the problem.
If it doesn't have the box around it, you don't need to worry about it. If it doesn't show there, you don't have the software installed and also don't need to worry about it.
If the above doesn't work, the only other question I have is does your stick have CT mapped to a button? If it does that might be a hardware issue, but that'd be the last suspect I have until the above two are checked.
Wiley.