FIC: Star Trek RPS -- Eyes Only

Title: Eyes Only
Author: the_deep_magic
Pairing: [REDACTED]
Rating: PG-13
Word Count: 6,262
Warning: crack, justified paranoia, voyeurism (ish)
Disclaimer: Technically, no names are mentioned, but just in case… this stuff didn’t happen.
Prompt/Summary: Just so we are clear- there's no such thing as a 'Pinto Mafia.' That would imply there's something to cover up. Which, ok, there are some things that do need to be concealed, but that's just because they're idiots and need protection from themselves.  It's not like they are fucking.  We think.
A/N: Written for the lovely and generous aprilleigh24 who bid on my wares for help_pakistan.  Many thanks to ewinfic, who assured me that this would make sense to people who do not reside inside my head.

( My name’s not important. )

My childhood phobias, let me show you them

Okay, pretty random Star Trek question that I've been meaning to ask for a while.  Is there a scene in TOS or one of the movies (or possibly even early TNG) where the inside of the Enterprise starts to melt?

The reason I ask is that I have this very vivid childhood memory of watching the Muppet Babies cartoon, which was constantly using popular movie/TV clips (the reason, by the way, that it will almost certainly never come out on DVD), and they show a non-animated clip of what I think were gray spaceship walls melting because it got too close to the sun, and for some reason I've always had it in my mind that the scene came from Star Trek.

I could be wrong -- it could be from something else entirely, or I could've just dreamed the whole damn thing.  I remember it so clearly, though, because it scared the shit out of me.  I had just read about the sun eventually turning into a red giant and scorching the earth, but somehow skipped over the part where it was going to happen millions of years in the future and I was therefore sure it was going to happen at any moment and EVERYTHING WAS GOING TO MELT, WHAT THE HELL, WHY DO I NEED TO LEARN MULTIPLICATION.

Anyhow, if anybody knows what I might be thinking of -- or the name of a good hypnotist -- please to let me know.