What's so fun about BruJay as a ship is Jason's sheer obsessive devotion to Bruce. Jason is possessive over Bruce, to the point he doesn't care about the deaths of others so long as he has Bruce's attention. A part of the UTRH arc this isn't talked about enough is that Bludhaven fucking explodes mid-way and Jason won't let Bruce see if Dick is alive.
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A lot of discussion about UTRH paints Jason as this anger-driven cold, calculating machine up against Bruce when it's so clear that his love for Bruce is what drives him at his root, even if he won't acknowledge it. He says it himself, he would've done anything if it was Bruce who'd died instead of him and his anger is rooted in that possessive devotion not being reciprocated.
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BruJay as a ship always to be, to some level, unrequited. Even if Bruce loves Jason back in that way, he'll never be that obsessed with Jason. Jason will always view Bruce's love for Dick or Tim to be a distraction, proof that Bruce isn't dedicated enough to him. Jason has the need to always have Bruce's attention, even when it could come at the cost of Bruce's other loved ones. Something something cannibalism as a metaphor for love in how Jason wants to consume Bruce's whole existence. He can't let Bruce leave him again, can't let Bruce love or grieve anyone else. Forcing Bruce to choose between Jason and the Joker isn't just about confronting Jason's killer, it's about confronting the other person who exists as this duality with Bruce and consumes so much of Bruce's life. That's the role Jason wants to fill, calling himself Red Hood and forcing Bruce to look at what he's become. But still loving Bruce and wanting more than anything for Bruce to reciprocate that love in the way that Jason understands. I just think it's good soup and rife with Dynamics that are underexplored with them.
