I had to remove this part, as otherwise it got flagged for "brainstorming post", but even a clue on what type of coating this is would help me tremendously.

>It's smooth, but has this textured appearance and very slightly rubbery feel and is very easy to clean.

It sounds like a vinyl shelf liner has been used to wallpaper.

If it is vinyl there is no fixing it, sorry.

I think I gave a false description. It feels smooth, but by dragging your nails on it, you can definitely feel the texture as well. Aren't vinyl liners typically completely smooth?

But I just took the outlet off and it does look like some sort of special wallpaper/liner has been applied, cause the holes have nicely cut edges for it.

Maybe take a longer shot. Better perspective.

Currently away, but I uploaded the other one I had on my camera roll. Probably doesn't help much with the perspective though.

I agree it is vinyl, vinyl often has that texture.

I think regardless of the material, it's going to be damn near impossible to match the existing texture to create a truly seamless fix.

If it is some sort of vinyl (possible based on the way it melted, but I'm far from an expert), maybe sanding down the high spots and one of those vinyl repair kits could get you close enough, depending on your definition of close enough.

Or maybe it's time to consider some sort of decorative addition to your kitchen that just so happens to sit right in front of the damage. 🙃🤷‍♂️ Hard to tell if that could work or not from the pics - it would obviously have to be something thinner like a painted tile or something.

Just put a back splash there so it never happens again?

[removed]

Is that wallpaper?
Def an appliqué of some sort.
You have to either remove/replace or find a spot that has that color/texture and is hidden from view, cut out a section big enough to cover the burn, peel it off, lay it over the burn, cut out the burn part through both pieces, remove the overlay, remove the burned section, replace with overlay.

As per Mr. Murphy, whatever material is most expensive to repair or replace must be will be 'what that material is.

That is textured vinyl wall panel. Someone painted the blue.

Putting vinyl wall covering on a wall that a stove is touching was not a good idea. This was going to happen eventually. That’s why people often use tile, metal, or another backsplash-like material next to a stove.

Looks like some kind of vinyl wallpaper behind a stove top. Not sure what genius thought that was a good idea but pretty much non repairable. You need a heat proof material there like tile or metal.

There is no seamless patch. This is all wrong above a cook top.

peel up a little corner somewhere that it doesn't show. It's likely just an applied covering that can be replaced.

If it is vinyl You Can repair it Google Vinyl Repair. There are services that do it and you can buy a kit https://www.amazon.com/3M-08579-Leather-Vinyl-Repair/dp/B0058WXNOK