It depends on the receiver, and the scope mount - some are better than others - Smith Enterprises, Sadlak, and Fulton are typically better than the stock Springfield IMHO - but YMMV.
What is the receiver make, and serial number age?
Springfield made a number of tweaks to the receiver over the years of production, and this affects the scope mount fit and security.
Most of the side bolt mounts are set high so that you can look under them, and still use the iron sights, but this also means adding a cheek riser on the stock for the scope.
Typically, on a post- "Golden age" Springfield receiver (Serial # 042201 to 063000) , I've had limited success with scope mounts - used the Springfield two screw mount with the 56mm when they first sold them, the mount was soft metal, some constant play, and a very high LOS for the scope. The mount seemed to shoot "loose" every 50 rounds or so, and there was quite a of marring between the receiver, and the mount track.
If I really want a scope on the M-1A, I prefer the two point hard mount, which replaces the rear sight, and would not be what you are looking for.
The Scout Scope Mount is an option that may work better for you, you'd get magnification when you wanted it, and could take the scope off when not needed.
The scout rail is going to be a better chance of RTZ than the bolt on side scope mount, IMLE.
Most of the side bolt mounts are set high so that you can look under them and use the iron sights, but this also means adding a cheek riser on the stock for the scope.
