Unless you kept the restriction on re-entering a turn you've already cleared (i.e. that you can only do it with someone in the party that has yet to clear it), this system would give absolutely no incentive for me to clear with people outside my immediate circle of friends and acquaintances. I know I for one would sooner just farm it with my raid static (or members from the other two raid statics in my FC) for all the pages we need, then go do more constructive things with my time.

I enjoy helping people learn content, but when you're talking about content that's as difficult as Savage the time investment is going to be well beyond what the average raider has available (or is willing to make available) to put in teaching complete strangers. The thing is, it also doesn't really make much sense to make something farmable and then restrict it that way, so yeah basically I'd end up just farming it with my static and other people that I'm 100% sure can just go in and one-shot the content. It'd be like Primal Focus all over again, but daily instead of weekly. Honestly, I think it works fine how it is. This way, teams that clear early don't just farm everything they need in a few weeks and then unsub till next raid cycle.