🚀 go-pugleaf

I would bet that the ONLY font you have in both T1 and TT and in the exact same name is Symbol.  All the others use different names. For example, with the usual installation of Acrobat products and the usual installation of Windows, you should have:
 
TT - Arial
 
T1 - Arial MT
 
TT - Times New Roman
 
T1 - Times New Roman PS MT
 
T1 - TimesNewRomanPS
 
T1 - Times
 

Unless you've gone out and specifically purchased the "other" format for the exact same name, the standard installation of your software more than likely resulted in only Symbol being duplicated.  And, FWIW, Symbol can coexist just fine on the same system. 

If your Illustrator folder contains its own fonts folder, you could move them out of there and into your regular library system. You can also move the Acrobat resource fonts into your regular library, but don't remove them from their initial locations.