I just got that scene yesterday, so it's nice to see others getting to the same point. I also have to wonder about exactly how many people have even seen that scene, since the decisions you need to make to get there are not straightforward.
Personally, I think they're trying to place the focus on Shadowheart's pain and sorrow, so it's meant to feel awkward for the player character rather than romantic...but yeah, that would be a reasonable and very human option to have. At least giving her a hug in that moment.
Did you already finish the game? I'd like to know if we get anything in conversation about the relationship during the ending or epilogue. If you're still together or if she leaves, etc.
I understand it was meant to show her sorrow, but it feels really out of place to just look at my girlfriend while she's crying and not have an option to do anything at all. It's just wrong on so many levels. I'd understand if the option was missing in a friendship path, but romanced one is just... awful. And it's not just that one scene. We didn't even have any scene with her in Act 2 like every other companion had. Act 2 spoilers -
Of course she had her Nightsong quest, but still, no romance dialogues during those moments either
As for your question, yes, I finished the game last night. There's one very short scene with her after the ending. Ending spoilers about the scene:
Tav and SH stayed together, trying to find themselves some place to call home.