Not sure what point you're making?
I've always used collets for receiver mandrels (with bushings). Collets have always been king when it comes to accuracy.
Precision ground mandrels in a quality collet setup will always have near zero TIR and repeatability.
Why dial in a 4-jaw if the workpiece will fit in a collet?
There are a few reasons now that I see how your doing it. First my lathe isn't in a temperature controlled room like most gunsmiths it's just in shop with normal temp swings, my headstock and bed move more due to temp swings than the accuracy I'm trying to run in, if my tailstock is dialed in to zero in the morning by the afternoon it will be a few tenths of same with my headstock.
This set up allows me to do all the action work in a single ridged set up, no sacrificial bushings, minimal tolerance stack, minimal work or tool deflection.
Generally between centers means the action is being driven by a grub screw through the action to the mandrel, by virtue of the set up your biasing the action on the mandrel, my mandrels are precision tooling guaranteed to a spec and not something I'm tightening anything on, period!
Between centers also means you'll have to move your set up multiple times, my set up is done once for the entire operation which is always the goal in precision machining because each time you move the work piece you've changed it.
Rigidity, repeatability of the finished work, surface finish and time all go into why I do it this way, time is money, I can have an action trued before someone running between centers has the lug abutments cut.