In this case, suggest checking and confirming the stock 'fit' so that it is the right size and the scope is in the right position. Good fit for a rifle is very important, and very often overlooked. Cheek contact is a factor of stock drop, stock length, pistol grip, cheek pad, recoil pad and cast on or off of the stock centerline. Once that is sorted correctly the next is positioning of the scope for height and eye relief, and setting it up vertical and directly over bore centerline. A scope level to let you know when you are off from holding the rifle vertically would probably help. Once that is sorted the rifle will 'come up' correctly each time, and feel won't come into it too much. Once you have the recipe sorted, you'll probably find you'll want to replicate the fit across each rifle so once from the same stable will probably be the easiest to do this with using the same brand and model of scope.
Getting a forgiving scope with a generous eye box and wide range of eye relief will help too.
Feel is one of the last things that you should go on for shouldering a rifle, as weather (hot/cold), position, clothing, stance, buck fever etc etc all affect your 'feel' at the time.
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