I don't like reading too much into someone's manner, because it assumes people fall into simple predictable categories, and I hate that idea.
The character of Roger could just have been hetero and stuffy, or gay but in denial. Ultra-correct Roger would not have had a clue about it himself, or would have supressed it to whatever extent is possible, by force of will, as a matter of misguided pride, considering his obsession for "correctness", and the times.
PT Roger? Gay as all get-out, whatever that means. Maybe not Joshua.
Sometimes I think I have too many opinions on too many things.