In an older Bioware game called Jade Empire, you could romance Sky as either a male or female PC, but what set it apart was how different the romance was for male PCs. He is seemingly a heterosexual man, having lost his wife and daughter, and if you’re playing a female character he will openly flirt with you and show interest. As a male PC, he shows no romantic interest unless you completely rebuff the two female LI’s, at which point he will “approach you with his suspicions,” where you can admit to being interested in him. It makes him uncomfortable and he doesn’t want to talk about it anymore until he’s had time to think. He is hesitant and unsure about beginning a relationship with you if you are a male PC, but eventually he falls for you. On the other hand, as a female he is very easy to romance.
I really find this to be a great alternative to either making everyone openly bisexual or restricting options. It shows a plausible way for the PC to romance whichever LI they want while still taking gender and sexuality into account. The character actually falls for the PC because of who they are, maybe in some cases despite their predisposition, and they still take gender and their own sexuality into account. I don’t know why this hasn’t been done again in any of the DA games (or ME in that case), but I really thought it worked very well. Anyone else have an opinion?
I don't think so. The initial conversation with him is just him asking why you haven't been interested in either of the female LI's. I don't think that his romance initiates unless you actually express interest in him, after which then he comes back later to discuss your relationship. I can't remember if there is any reaction from him if you pick the neutral "I'm just not interested in anyone" dialogue option.
Not really relevant to the main topic at hand, but I really don't like the idea of a male option only approaching you if you specifically reject all of the female LI's, like the OP stated was the case in Jade empire.
I don't like the thought of having to "prove" your character is attracted to men by showing a lack of attraction to women, since the two are completely separate things. Not to mention the implication that your character must be gay if they reject the female LI's...
I know I'm late to the party, but I really wanted to comment on this.
I haven't played Jade Empire, so this is the first time I've heard about Sky's romance - and even if I had played, I likely would have done so as a female character, so Sky potentially being a m/m romance would never have occurred to me.
It sounds like a very interesting and subtle way to make a character available to either gender. What I like the most is that the player has complete control over the situation. If the player had rebuffed both girls' advances because he wasn't interested in them specifically rather than not interested in women at all, they could express that in dialogue and Sky would not make any further romantic advances himself.
There are a LOT of people who argue otherwise, but in DA2 I always assumed Anders was bisexual. He flirted with my female Hawke and never mentioned Karl, true, but he has banters with Isabela and other dialogue that suggest he is open to sexual encounters with either gender. It never bothered me, and I'm still surprised that the decision for Anders to not reveal his relationship with Karl to a female Hawke came directly from his writer, because it was "in character." You weren't fooling me, Anders.

I think I WOULD have been bothered if (and completely empathize with) the complaints about Zevran being a bisexual with a strong preference for women had applied to Anders in reverse. That situation was even worse because Zevran was the only m/m option.
I think that for me, an ideal way to handle romances would be to have a spread of characters with defined
preferences that provide equal representation on the surface, but fluid
sexuality underneath that allows the player to pull strings to secure a particular character's romance as they desire. So, for example, Dorian might actively pursue a male Inquisitor, and Cullen might be easy to woo as a female Inquisitor, but both men would have dialogue paths enabling men or women to start a romance. If these paths are never triggered or explored, it's as if they don't exist - all sexualities can be represented without denying anyone a romance with the character of their preference. It goes without saying that it would be important to avoid alienating players of either gender as with Zevran; if a player jumps through hoops to romance Cullen as a man, Cullen should no longer display a preference for women.