The base collet type die is
ADJUSTABLE and only sizes the area 1/2" or less immediately ahead of the belt. A regular resizing die (no matter if it is Redding, Lee, RCBS, Hornady, CH, etc.) sizes the same part of a beltless case, just at the leading edge of the web-
because there is no belt in the way. Simple as that. If not then the same thing happens, belted or beltless- that area of the case will swell under pressure and after 1,2 or 3 three shots, it will not spring back enough to allow friction free chambering, or may not allow chambering at all. The belt has nothing to do with whether that part of the case swells or not or springs back enough to allow free chambering. Basically no difference in the two. The base collet die has nothing to do with how many firings a case can be be used before having to be discarded- other than it can provide a few more reloadings before having to discard a belted case. If you load belted cartridges to full pressure and have a normal chamber, there is a good chance that by reload/resize number 3 you will start to feel resistance to chambering caused by the area of swelling just ahead of the belt. If you load an identical beltless case to full pressure and have a normal chamber, there is a good chance that by reload/resize number 3 you will start to feel resistance to chambering caused by that area of swelling even though there is no belt.
The resizing issue that causes greatest stress and reduced case life is high pressure and a little extra, possibly induced headspace, say greater than .004-5" as is common in most cartridges controlled by shoulder headspacing. That forward movement of the case during the firing cycle, caused by the primer ignition thrust, is only half the story. The other half of the story is when the case comes up to full pressure, the forward part of the body and neck momentarily stick to the chamber walls and the case head slams back against the bolt face STRETCHING and THINNING the area of the case just forward of the web. Belted and rimmed cases act differently from beltless cases where the headspace is controlled by the shoulder during the firing cycle.
A different issue can occur if a case has both an adequate headspring type shoulder AND a belt
Many reloaders will adjust the sizing die down after a couple of firings when they start to feel chambering resistance THINKING it's shoulder and upper body impingement. The reality is that it is simply the area just in front of the belt that is causing the resistance. So in the attempt to resize enough for ease of chambering they are in fact reducing case life by introducing extra headspace THUS EXTRA STRETCHING during each reloading/firing cycle. They then claim the reduced useful case life is just an "artifact" of the belted design.
Adjust regular sizing die for a belted case the same as for a beltless- just enough to allow free chambering for the shoulder and body of the cartridge. THEN address the issue of the area just in front of the belt either by using a collet die to reduce it enough for free chambering or simply pitch the brass.
If you are using the same cases for different rifles, chances are high each rifle will have a slightly different chamber so will likely require slightly different sizing die adjustment for OPTIMAL sizing. Doesn't matter if the cases are belted or not. Or whether or not you decide to use a collet die or not. Using a regular sizing die by itself or using a regular sizing die along with a collet die is a SEPARATE issue from sharing brass between or among different rifles.