I would think that it would be more a matter of who made the barrels for the Handis.
The caliber is also a consideration, with most 30-30's and 45-70's it's almost a given that their going to be accurate. I have two of each and I'm very happy with them.
For some reason, like thejanitor, I'm still having problems with my 7-08, it groups great at 50 yards, when I move it out to 100, it gives me headaches. I'm still working on it though, changing scopes, powder, heads, and brands of ammo. It's just a matter of time until, I find the right combo.