In your reference, I think this summarizes the issue nicely:
As others have said previously, the apostrophe is a way to indicate that something in a word is missing. In one case, it may indicate the omission of numbers (ex. '20 instead of 1920). In another case, it indicates the omission of words which may be used to expression possession (ex. 1920’s music instead of "music that was recorded in the decade that began with the year 1920). It is never, never, never used to express plurality.
Many style manuals allow referring to decades with apostrophes before the s, and no apostrophes before the abbreviated year
Could you provide some example style manuals that say that?
I can give you a stack exchange: https://english.stackexchange.com/questions/13631/is-an-apostrophe-with-a-decade-e-g-1920-s-generally-considered-incorrect
In your reference, I think this summarizes the issue nicely: