He was gay, you do the math.
Since he didn’t hit on Mary Ann I would say he was a fag, Jim.
The math:
The millionaire had his actress girlfriend along for the trip along with his wife. (Prototypical rich deep staters).
The song makes it clear that it is the professor AND Mary Ann together.
And the captain had Gilligan.
No. He was not gay
No he was not gay. He was married three times and had two kids. His son was gay and died of aids.