I never said staying in a Japanese hotel room with a same-sex partner on its own was gay. I said two men sharing a hotel room AND taking a bath together would be considered very, very gay. If you disagree, then you don't know nearly as much about Japanese culture as you let on.
Those baths you're talking about in yakuza movies are public baths. Of course two men in a communal bath wouldn't automatically be considered gay. But two men staying in a hotel AND sharing a private bath together? "I hear A and B shared a bath together... REALLY, are they gay???" Yeah! That's EXACTLY what you'd hear.