Replace the lifelines for other reasons.
From what I've been reading, you should replace the lifelines - not because of heat damage or melted vinyl, but because coated lifelines are bad news. Stainless steel requires oxygen to form a protective layer of oxide and thus prevent steel oxide forming (rust.) (Sorry, but I forget which of the components of the SS alloy provides the protective oxide. ThinWater probably knows.

) Anyway, when you put SS in an oxygen free environment, it then becomes subject to rust. Which kinda doesn't make sense, what with the rust being an oxide, but this is proven. So, anyway, coating SS wire with vinyl makes rust under the vinyl more likely, and you won't know the strength is compromised until the rust expands and splits the vinyl. Also, most standing rigging fails at the swages, because there is limited oxygen getting in where the wire is crimped. We should always pay close attention to cracking or staining at the swages of our standing rigging.
Usually, you can step up a size in your lifeline wire moving from coated to uncoated, in order to fit holes in stanchions, etc. Or, you could replace your wire lifelines with Dyneema single braids. I think it's CS Johnson making some very nice looking termination fittings for fiber lifelines.
Personally, I have 2 lifelines on my boat which aren't quite good for "life" lines. (They are low, and kinda knee-cappers.) I do like them as backrests for windy days, sitting on the coaming tops, but that's because my little boat sails slightly more like a dinghy than a big keel boat. Next season, I think I'll replace mine with bigger wire that I cut and crimp myself.