It’s an æsthetic choice in the end. If I could put the period below the quotation mark, then I would do so as I already do in writing.
Æsthetic is misplaced pedantry, since the word comes from Greek through German, rather than Latin.
Them's mighty strong words there.
> since the word comes from Greek through German, rather than Latin.
That's not a rule. Remember, this is language. It does seems like a dated spelling though, similar to "coöperate". It shows up in 19th century publishing.