It is safe to use .308 bullets in the 7.5x55 Swiss cartridge. If you pull a bullet from the GP11 ammo and measure it below the crimp, you will find that it is .308 caliber. The "small bullet for the Swiss rifle" rumor has never been true but refuses to go away.
The K31 rifles have virtually no throat and require that conventional bullets be seated quite deep to miss the leade of the rifling.
If you scout the various Swiss rifle forums, you will find quite a bit of recent loading data.