I installed the game on my D: drive but there’s still some stuff on the C;/ drive, including controller profiles. Mine are in:
C:\Users\Computer\AppData\Packages\Microsoft.FlightSimulator_8wekyb3d8bbwe\SystemAppData\wgs(folider with a name of a huge long string of number).
The other folder in the \wgs folder is just named “t” so you can’t miss the one with the big long name.
Within this folder are a bunch of subfolders with really long hex names, and inside of each of them is a file with a really long hex name and no extension. These latter file can be opened with a text editor. Most are gibberish but some are actual text you can read. Those are your saved controller profiles.