Given that Wikipedia cites no sources for that claim, I'd say there's no real proof at all.
The earliest record I can find on familysearch for anyone named
Araminta is a wedding in 1709. The bride would have had to be 15 or 16 to have been named after the character in the 1693 play, and while that was unusually young even then, it would not be at all out of the realms of possibility. It does therefore seem likely that the name was invented for the play.
Neither
Arabella nor
Aminta was in common usage in England at the start of the 1600s (I haven't found a single reference to either in my usual sources), but the names used in plays were often fanciful or deliberately 'foreign' anyway so the coinage needn't be based on that.
https://nanowrimo.org/participants/christine-seaforth-finch
http://christineseaforthfinch.blogspot.com/
This message was edited 6/21/2021, 2:03 AM