I can’t picture it being a concern. I am using brass that has been reloaded since the early ‘80s, some with the headstamp almost worn off, and have never had a problem. Primers are whatever is on the shelf, including Winchester, CCI, Federal, and Remington. Don’t recall using any other brands.
With shotgun, there are some oversize primers out there that cause problems when you change back, but I have not heard of it in the metallic cartridge world.