So there's been some things said here about recalls vs. emergency recalls and more specifically how they relate to waivers expiration. I'm going to reference something good ol' Capfriendly said back in 2021 about this:
Capfriendly almost certainly received clarification about this directly from a league source, as they had often done. The CBA wording on this is somewhat weird which led almost everyone to believe that there were completely separate clocks for regular vs. emergency recalls.
On regular recall you get 30 days or 10 games, whichever happens first, before a player who previously cleared waivers will require waivers again.
On emergency recall you get 10 games and there's no 30 days clock (for a back-up goalie recall like this that's very important). Games previously counted on regular recall do not count against the emergency recall clock. But games on the emergency recall clock do count against the regular recall clock.
This does make sense in practice too. If for whatever reason Murray had been on regular recall for 6 games earlier in the season and was sent back down the Leafs would still get the benefit of a full 10 game clock in the event he was recalled under emergency conditions. But they can't just use up his 10 games on emergency recall and be like well now we have 10 more games on regular recall. That sorta goes against Murray's rights as a waiver eligible player so it makes sense it's not how the rule actually works.