https://musicbrainz.org/doc/Style/Principle
If you ask yourself in what style something should be entered into MusicBrainz, the following principles apply:
Follow Artist intent.
If no definite proof can be found for the correct spelling/punctuation, the most common version should be used.
Follow the style guidelines.
https://musicbrainz.org/doc/Style"acapella" would technically be considered a spelling error, which is something that we correct.
This article does a good job explaining what artist intent means: https://musicbrainz.org/doc/Style/Principle/Error_correction...
Or are you perhaps thinking of ´ (Unicode code point 0000B4, ACUTE ACCENT)? Yes, that one is ugly and should not be used as either an apostrophe or a right quote.
However, making every “skewed” apostrophe “straight” is very easy for a computer to do (e.g. MusicBrainz Picard ships with a setting for this). This is why the MB guidelines say to prefer correct typographical apostrophes.
Note that they are preferred and not required, so you can still enter straight ones, but another editor may update them. I honestly don’t see the problem, but I am very pedantic about other things so I guess I can imagine how seeing the curlies could rub you the wrong way!
I've viewed/edited/added many Japanese entries on MB, and the names and spellings for them are usually always spelled exactly as they appear on the official release.