He wrote a few plays where women disguised themselves by dressing as men.
These occurred in comedies, meaning, he and the audience of the time found this funny.
So making fun of cross dressers doesn’t seem like a gay guy to me.
The article is just another attempt to normalize gaydom. They probably won’t stop until there’s a gay history month.
From the Library of Congress site - LGBT Pride Month is June.
https://www.loc.gov/lgbt-pride-month/about/
At that time women were not allowed on stage so women characters were portrayed by men.
Any famous person who never married is automatically considered by the fags to be one of “them”, even when they were not.