I agree with checking the barrel/reading the manual. I have both a SA M1A rifle and M14 rifle, by James River Armory (built off Army blueprints of the M14, obviously without the select fire capability). My SA M1A manual indicates it's safe to fire both 308 and 762x51 NATO. My M14 manual states to ONLY use 762x51 NATO spec ammunition: 147-150gr M80 ball, 173 gr M118 match or the current 168 gr M852 match ammo. (there are some 308 options, but only if 762x51 NATO isn't available. This M14 has similar issues to the M1 Garand and BM59 that are extremely vulnerable to high primer slam fires which could be catastrophic to the rifle and injury to the person firing it.
Since you're asking about your SA M1A Scout, it's probably the same as my SA M1A rifle, and safe to use either 308 or 762x51 NATO. Trust but verify is my suggestion, by reading the manual and/or barrel inspection.