Thank you for refering this issue, MAMBOPOA,
I tried downloading the subtitles of https://amara.org/en/videos/xnBPhEByxPgO/info/captain-koons-by-piti-contest/ on my mother's iPad and encountered the same issue: the subtitles opened in the browser (safari in this case) instead of downloading.
Problem, as in your case: the browser used another encoding than UTF-8, hence the weird symbols replacing apostrophes. Do you know how to change browser encoding on an iPad? if yes, change it to UTF-8 before opening the subtitles, so that they appear correctly. Then select them all, copy them, paste them in a note, saving the note as UTF-8 encoded simple text file, but with the same extension you originally chose.
If you can't change browser's encoding, then maybe wait until you can use a PC or a Mac, download the subtitles there and then email them to yourself.
As it is, I downloaded your subtitles as .sbv (apparently, the format you wanted?) and .srt. I am attaching them here.
Note for me: subtitles download normally on my android phone.