You inhabit a very different reality than everybody else. Americans do not differentiate jail and gaol; Americans don't use the word "gaol" under any circumstances, ever. It is not a part of American English.
These same games will have voice actors pronounce "ye" as it's written, unaware that the y is a typographic substitute for Þ. "ye olde" is pronounced "the old". But likewise, there's some VAs that clearly only ever read a word, like in the newer God of War games where a character mangles "prescient".
Americans never use ‘gaol’. It’s rarely used in Ireland but definitely a term there.
Since that's the topic being discussed, then first portion of your statement wasn't necessary.
Although that distinction is rarely relevant in casual conversation in practice. People say "jail" and mean "prison" all the time.
It can definitely come across as a “Frankenstein’s monster” type of pedantic correction, but they truly do mean two different ideas in the US