Unlikely. Curing tempering requires careful focus and an abundance of aether. We were on the verge of turning into a Lightwarden while the Scions are getting smacked around behind us, then we threw an axe through his chest.

My take is that his final "Remember us" line is just a tired old man accepting his demise and asking that the glories of his people not be lost to time. Considering what happens to Elidibus, it's certainly a worthwhile thing to ask. Especially if Emet knew about Elidibus's true nature beforehand.

As for Elidibus's line about "correction", he probably just means helping Emet to course-correct and not get killed. It was kind of a running thing that the three Unsundered didn't always see eye to eye and each thought their own path was the best.