You're right about any 1" scope but the MOST IMPORTANT THING is that the telescope you mount is collimated. That is, the optical axis of the bore mates with the optical axis of the tube. MOST IMPORTANT.............. I have seen some pure, absolute, dire crap, believe me.
Just last week a distant neighbour of mine here in Abingdon has purchased a 7.62mm Enfield - I put it no clearer than that because even I don't know what it's meant to be.......... fitted with a No32 scope. Like the rifle, I'll say 'fitted'; and leave it at that. Just taking a cursory glance at it you can see the telescope is pointing downwards. And, true to form, at 0 yards (yep, still calibrated with yards/imperial range drum......, I ask you) the graticle is just over 3/4 the way up the centre line. Oh yes, it'll drop down when you reach out to longer ranges but even then, it'll only end up where it SHOULD have been at 0!
It's simply mind boggling. I can but try...............