7mm-08 is really similar to .308 as long as you are shooting the 139-154 weights.
The AR-10 operating system doesn’t really notice the difference in term of bore volume, port pressure, case volume, and how the action runs on this type of “fuel”. I’m speaking about the engineering side of calculating bore volume, port diameter, propellant mass, and how this all comes into play for running the action. AR-10 internal ballistics and mechanical engineering considerations are a totally different ballgame than 5.56x45 if you look at the mass and bore volume, recoil, BCG mass, action spring and buffer considerations, etc.
As far as magazines and cartridge feeding, the .308-based cases run reliably. I’ve seen incidental exceptions of original VLD projectiles slipping through the barrel extension lugs and hitting the breech face in the barrel instead of feeding into the chamber, but not on my .260 Rem shooting 130gr VLDs. None of your factory ammo you see on shelves will have that characteristic.
Things do start to change when you step into smaller bores like .264” and .243”.
I’ve owned 2 different .260 Remington large frame rifles built on DPMS receivers, one a factory DPMS LR-260 with a tight chamber that needed work, the other a GA Precision built large frame with Bartlein barrel that just runs like a raped ape for me. GAP extended, blended, and polished the feed ramps if I recall correctly.
The first thing I noticed with .260 Rem is that the firing pin aperture diameter invites a lot of blanking or primer flow that look like cratering, even though I’m well within published data on my hand loads. This happens on bolt guns too if they have generous firing pin apertures on the bolt, especially on Accuracy International rifles.
If I was doing a large frame right now in .260 Rem and wanted to eliminate as many headaches as possible, I would start with a
LaRue Ultimate Upper with the 18” barrel .260 Rem option. You can choose 18” or 22” for .260 Rem.
Funny you mention this because I’ve seen .260 Rem on shelves locally at pretty much every store I go to for the past year. 6.5Cm pretty much disappeared immediately.
Get the LaRue kit and lower receiver and you have a complete LaRue large frame rifle that won’t look and function like a pile of garbage of franked-10 parts. I wish that option had been around when I was really into AR-10s.