Testing the volume pot won’t give a decent reading—no surprise there; that pot barely works. The tone pot read 83–84kΩ and ~47Ω in the middle. I’m not going to try chasing down a 95k pot, I’ll just go with 100k. To the store!
Sounds about right. I'm sure the 100k will be indistinguishable from the original (except that it'll work).
My guess is that either someone replaced the pots with non-guitar pots or that this guitar is so shitty that the maker didn’t even bother to buy normal guitar pots.
It was probably made in the same factory that was making audio equipment, and they just used the same parts for everything.