Umm, it varies.
I have a Rem 700, trued by a BR smith. It has a loose bolt, several thousands between bolt diameter and action inside diameter. It is a 1/2 MOA gun.
I have another 700, trued, with an oversize PTG bolt,lapped to fit the action. It is a 1/2 MOA gun.
I have a Defiance Mutant. It is a 1/2 MOA gun.
I have a Hall actioned single shot. It has a very well fit bolt. It is a 1/2 MOA gun, on a bad day.
I have a Sako TRG-22. It has lots of clearance in the bolt. It is a 1/2 MOA gun.
What my gunsmith told me, and I believe him, is if the action is trued, barrelled and chambered correctly, then a little bolt slop is not going to make a difference.
If you want no slop, then get a BAT action. But, if you shoot that like a tactical rifle on the ground, and get it dirty and dusty, those really tight tolerances might bite you when you get dirt/grit into the action.
Just my opinion.