I used a standard RCBS full length die for my Remington 760 pump and also never had a problem. And Barlow raises a good point about chamber diameter and even a standard die might be a "small base die". Meaning how much the die reduces the case diameter.
I had someone I hunted with that also had a Remington 760 pump, "BUT" someone told him he needed a small base die for reloading it and he was having case head separations. This was in the early 1970s and both of us were following the RCBS dies instructions. Meaning with the die making hard contact with the shell holder. And I never had a case head seperation in my 760 pump. I'm not sure if it was the amount of shoulder bump or the dies diameter that caused my hunting friends case head separations.
So again chambers and dies vary in size, and all you need to do is measure a fired case and a resized case. To know if you are reducing the case diameter enough for the type rifle you have.
Example below for the .223 and 5.56 AR15 chambers, the base diameter of the AR15 chamber is .002 larger. And in a semi-auto the resized case should be .003 to .005 smaller diameter than its fired diameter. This allows the case to spring back from the chamber walls and extract reliably. Meaning in a bolt action rifle with a smaller diameter chamber the case has more time to cool and spring back from the chamber walls. (as long as your not the Flash or Superman and faster than a speeding bullet)
NOTE, no magic feeler gauges or shell holder were used in the making of the posting.