Yes my friend, i am on your wagon here. I have Mannlicher Schoenauer Stutzen in 7x57, so basically the grandfather, or father, to your steyr 7mm08 stutzen. Mine has a 20.5" barrel, so almost the same as yours
If you reload, may i ask what sort of powder you use to ensure sufficient powder burn in the short barrel? Because mine often, when shooting commerical ammo kind of sounds like an artilery cannon, and looks like it too, witch a big massive muzzle blast coming out of it. I even set a shooting mat on fire this way, once