There were far more members of the male sector in the closet before on a percentile basis.
There are far more in the closet now--because of the world's population figures.
One has to think about how to phrase the question. Homosexuality has always been in the human kingdom and animal kingdom--it just depends what era we are talking about in regards to its acceptance in society.
The Romans thought man/man love was a higher form of love than man/woman--time and place becomes an issue, as well.
As for the "closet?" I don't know if they had closets in the Roman era, but I know they did in jolly, old England where men were often suppressing their sexual preferences--must have been that limp accent...lol.