Byakuya had no idea how to be an actual good boyfriend
It really was a mixer of his lack of empathy, his ego, his self-centredness and never having a significant other before you, since you were the only person who could actually deal with him and his "I'm better than anyone because I'm rich and the ultimate Affluent Progeny" mentality
He knew he was a horrible person, hey he wasn't going to lie to himself because he knew he wasn't a good boyfriend as because of him running the Togami corporation, he rarely spent time with you and if he did. He always ruined the mood by saying something snarky or mean to you so what was the one way this guy could show his love?
He had been secretly teaching himself how to flirt, of course it was still really awkward and stiff but it was better than nothing as he sat next to you, a long silence happened before he cleared his throat
“So you know how amazing i am at French, correct?”
Mentelly he was panicking about the delivery of his next line, praying that it was alright
“Well I’ll have you know that i am amazing at uh-.. an other french too”
He said, trying to keep his composure as he referred to French Kissing