Some say rings are more flexible for mounting options, and they can be, but it really depends. I find far more often if I'm running a 13.25-13.5" LOP, I often can't get the optic far enough forward with rings or a non-canti mount. Even on an AR I don't like running rings/mount onto the handguard rail. From an alignment/strength standpoint it seems like a 1 piece mount would be stronger and hopefully avoid putting undue stress on the optic as opposed to rings on a potentially poorly machined rail or receiver. I suspect it's a non-issue though we just don't see mounts fail, or clearly damage scopes often if at all.
My TRG is this way, I had to put the direct mount Sphur as far foward as possible and move the scope forward cheated almost to touching the front ring. I can't use a non-canti 1 piece non-canti mount or rings and get the scope far enough forward on my CZ 457, 10/22's and can just barely use rings on my AI AT.
As such I've basically stopped buying rings, and only run 1 piece canti mounts. The only thing I'd buy rings for now is if I had a hunting application that was not setup for a rail.
The hard part is there's a pretty limited selection of 34mm 0 MOA canti mounts if you already have a rail with MOA built in and almost no mid range options. Hopefully ARC is working on a canti version of their mount.