This is an interesting situation. Most folks that have a backup rifle want it set up exactly the same as their primary rifle. When you’re on the clock you don’t want to feel any difference at all.
in your case, it sounds like you’re far more interested in the old west experience than you are in the competition. Because of that I don’t think it really matters. That being said, I’d still suggest you set up all your rifles so that their feel is as similar as possible. The minor learning curve required when switching from one to another can be very frustrating when on the clock.