You can crush primers in uncrimped primer pockets if primer pocket ID diameter is too tight for primer cup OD (some non-domestic brand primers have slightly larger diameter primer cups).
If you are using once-fired brass with tighter primer pockets (S&B, RWS, etc.) and larger diameter primers (Fiocchi, Wolf, Tula, PMC, etc.), primer won't often seat fully below flush and remain above the case rim to be crushed.
For tighter primer pockets, I use CCI/Winchester/Magtech primers which I can readily seat .004" below flush. With once-fired S&B/RWS cases, even with CCI/Winchester/Magtech primers, seating to flush is a challenge (I am currently sorting out S&B/RWS cases to have primer pockets swaged with C-H swager).
Larger diameter primers are good for extending the life of brass with loose primer pockets.