Edinburgh surviving to receive a Belfast-style refit

Would Edinburgh have received a refit like Belfast's if it had made it home after the torpedo attacks?

Yes, broadly the same refit is expected; the possible effect on the two ships' service lives is left open.

If Edinburgh had returned after its torpedo damage, a refit much like Belfast's is expected. Keeping both ships would leave a pair of useful cruisers available. Whether that would extend their service lives is raised as a further question, without a definite answer.