Fact the installer will download a profile, doesn't automatically mean GSX will *always* use it. The name of the profile you used last is SAVED in the [gsx] section of the %APPDATA%\Virtuali\COUATLADDONS.INI file so, the file selection is random only if you haven't set a preference so, for example, such line in the COUATLADDONS.INI file:
profile_lszh = zfybhg
Means GSX will always load a profile named LSZH_zfybhg.INI at LSZH
And, it would have been useful if you said exactly what the issues are with the default FSDT profile, which surely has custom pushbacks as well.