Primers "will" back out with under presser loads or with a simple primer, but only if there is enough excess headspace to allow the primer to move.
If the case head is tight to the bolt face there is no where for the primer to go, if there is a "space" then it will back out.
I have not tested that, but regardless, except for my 35 Whelen, I set the shoulder back about 0.003" from the chamber, or, as in the ammunition for my AR15's, M1a's, and Garands, I set the shoulder back to cartridge headspace gage minimum. I have had a lot fewer function issues adding some clearance between the cartridge headspace and the chamber headspace. And for ammunition used between several rifles, I will size to gage minimum.
My 35 Whelen, it has such a slight shoulder that sizing the case so chamber dimensions and using the most sensitive primer I could find, I stopped having misfires. The shoulder on a 35 Whelen is so slight that the firing pin blow appears to resize the thing, at least, it cushions the firing pin blow.