At most I could accept maybe 3-5 Precision drops per clear, unrelated to the weekly lockout. Too many more then that and I think you'd start hearing people bellyaching that the top raid groups have a huge advantage. I mean for all the complaints about the size of the grind, the relic quest is still mostly a casual friendly piece of content. I'd be cautious against anything that might work against that.
Oh now you're just being silly! People still wipe in A4N from time to time, and with a group with good gear that should be really hard to do! A3N isn't too bad, I'll grant you that, but A4N wrecks people all the time! There's a reason that the two turns I'm working hardest to bypass are A4N and A2N.
Also, "allows you to do newer content," is a really weird statement. It'll take you an ice age to get significant Law without doing new content, so doing new content is basically an essential if you want to get this done in a reasonable time frame.