Ok, so depending on how much you like those two cards from R&D this is either a worse Preemptive Action though one that isn't terminal (if you shuffle back 2 cards that you just discarded, so you only shuffle back 2 cards previously in archives), equal to Preemptive Action except for the terminal bit (3 cards shuffled back that were in archives) or better (4 cards shuffled back).

You could also see it as a way to have extra Preemptive Actions in your deck, influence free for Jinteki. Not sure why you'd want that though, typically 3 Preemptive Actions is more than enough.

One last difference with Preemptive Action and one that equals out the the not-having-terminal bit: 1 cost vs 0 for Preemptive Action.

My gut feeling is that even for Jinteki corps Preemptive Action will be the better option unless they can ensure the right cards are on top. Well, if anyone can it's Jinteki.

God dangit, another IG card.

Anyway, the comparison to make here, is of course to Preemptive Action. Sure, this shuffles an extra card back, but it bins two cards first, and costs an extra credit! With the only real saving grace being that it isn't Terminal.

So, clearly, to make this worth using you need to make both the self mill, and the recursion useful; which basically means Breached Dome, which means you are either playing IG, or Potatoes, where the real benefit is probably that you get to effectively run 6 preemptives to make your grind-fest last even longer!