I think the only way this could really come unstuck is if you only neck size and his chamber is tighter so the rounds don't interchange.
When you think about it it's not greatly different to using factory ammo in different rifles.
There are variations true, an aquaintences begara b14 shoots all factory ammo with satisfactory accuracy but gives pressure signs with hornady superperformance (ejector marks) whereas the same ammo in my 308 shows none.
If your loads are moderate and the cases full length sized I can see no problem with what you propose.
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