Be aware that if your bag setup is adjusted for one stock profile it probably will not fit another without some adjustment. It is better to have all your stocks of one design. Within one manufacturer this is true also. For example if you have a McMillan traditional you would need to change your setup for the McMillan EDGE.
Matter of fact it is better to have the entire assemblies alike, actions,, scopes, etc., if you are using more than one gun. If you go from a short 3-lug BAT to a long 2-lug BAT it will mess up your on the bench rhythm. Same way in going from a Panda RBRP to a Panda RBLPRE and so on.
Same way on barrel length, barrel weight, chamber, trigger and whatever. That way if you have to change guns in a match or just on a target you are not chasing useless variances.
i.e., KISS!!