Yeah, I don't like it either. Maybe it's just me, but the ever-increasing romance-focus seems to come at the cost of both main story and platonic relationships, which does bother me. And some fans seem to pretty much only care for characters in terms of bedding them. It's not enough for a character to be well-written and funny or deep, s/he must be a "love interest", deserves to be a "love interest", or else the devs clearly and spitefully deprive people of their Twoo Wuv. Hyperbole? Maybe. But not much, in some cases.
*shrug* Not saying I'm not as biased as everyone else. I'm asexual, and I want platonic bonds just as sexuals want sex. Many gay and bi people are starved for any positive depiction of people like them, and I very much empathize with that. I just wish there was more of an appreciation for the characters themselves and less of a myopic romance-obsession and fewer demands for ever more dating sim content. Sometimes I skim over a thread for one of the "love interest" characters because I like many of them and wouldn't mind discussing them, but I'd feel out of place among all the gushing.
Ugh, tell me about it. I barely look at character threads because they tend to be all about the character's romance and their sexy time while discussing very little about the actual characters themselves. And I wholeheartedly agree that many of us LGBTs are far too concerned about the sexuality of the character than the characters themselves. If you were here right after the romanceable companions list got revealed, you'd remember that there was a sh*tstorm regarding us LGBT players wanting more romances than straight male gamers just because we got shafted (no pun intended) in the past and wanting compensation for that. It felt like for many LGBTs, the romances were more of a numbers game to them rather than genuine interest in the character (Solas in particular) and it was just a really disheartening thing to witness.
But to get back to the topic, do I think that romances overshadowed the story? No, they absolutely did not. If anything, romances felt kinda short and very uninvolved in the main story, with the exception of Solas', of course. The general progression for a romance was basically to do a character's Inner Circle quest, begin a romance, get them a gift, and bed them. That was it. They didn't take anything away from the plot, and in fact, enhanced it a bit - such as the dance in WHWE and the ending balcony scene. In fact, I felt that the game could have had romances be a little bit more involved in the plot, and I'm not the biggest fan of them in the first place. So yeah, you're probably just focusing too much on the BSN's obsession with romances, TC, not what's actually in the game.