I don't think you'd really be able to get it to mesh that well. There are other background noises going on, and the sound quality is not too great. My recommendation would be removing that scene completely. It is too anti-climatic for the climatic scene it is trying to be.

And the thought of having tight leather slapped onto your body after receiving severe life theatening burns always makes me cringe...

I always imagined the creation of the "more machine than man" version of Vader being something that happened gradually. For some reason I always imagined earlier incarnations of Vader being Anakin with the black suit and cape but no helmet or life support box. I imagined this version of him hunting down Jedi one by one, and when he eventually caught up to his old friend, or his old friend caught up to him, there was an unfortunate incident involving acid/lava which damaged his lungs and burnt his face making the suit necessary. I think getting the suit after less than a whole day as a Sith Lord kind of takes something away.

Fortunately, I believe Adywan has already said Vader will not appear in his Revisited saga, which I definitely think is the right decision. I have thought for a long time that cutting him out and leaving the events as vague as possible would be the best way to get ROTS to mesh with the OT accounts of Anakin and Vader.