I agree with Bravo 4. Using a single scope for multiple rifles can be done with a degree of success by noting the impact shift under a consistent scope position and attachment torque,,,,,,,then recheck and tune zero. The degree of success depends on the rifles range/accuracy requirement
My best success with scope removal/replacement "on the same rifle" was a few decades ago hunring in Botswanna. My 375H&H Whitworth Mauser was used for a wide variety of game from impala to Cape Buffalo. Using my 270gr load with my 4x Leupold, the scope was zeroed for 100 yards, and had rather costly German detachable mounts(can't recall the brand) that were designed to maintain a consistent zero when removed and replaced...100 yard/1MOA precision/accuracy in my case. The express sights were set at 50 yards with 300gr solids/and 270 gr loads for the dangerous guys in close cover. This system worked superbly, maintaining accuracy with the 270gr load effective out to 300 yards on antelope, my longest kill, and dead on with the express sights when used for Buffalo. It served me on subsequent trips as well. I don't think this system would have worked on different rifles even to the moderate range standard I had, without requiring a scope adjustment at the very least. A few years ago I played with that rifle at the range. With the same loads, it still on....without requiring a scope adjustment.