The Akatsuki were never about recruitment, but about achieving shared goals through coercion. Naruto joining wouldn't be a matter of him being corrupted and turning evil, it would be a complete fracturing of his character's core premise. The entire emotional engine of the series is his quest for acknowledgment and belonging within the Leaf system he was ostracized by. If he swapped sides, you'd have to rewind time to before he formed Team 7, to a point where his loneliness wasn't answered by Iruka and Sakura and Sasuke, but by someone like Pain or Obito offering a twisted version of that belonging. His relationships wouldn't 'shift'—they'd never exist. There's no 'Uzumaki Naruto' as we know him on that path. It becomes a different character wearing his face, and any fanfic that tries to play it straight without addressing that fundamental paradox usually falls flat for me.
I've read a few attempts where he's a plant from the start, a sleeper agent, and those work better because they're not about him 'joining' but about him being placed there. The dynamic with Sasuke becomes pure mirrored antagonism from the jump, which is cold but logically consistent. The connection with Hinata or Sakura never sparks. Jiraiya might be his handler or his greatest failure. But the warmth, the relentless optimism that defines his bonds? That's the first casualty of that choice.