And attraction. He hadn't actually, truly, noticed on a conscious level, but that didn't mean he wasn't aware. Largely by default, in fairness. Bruce is attractive, knows he is, and is well acquainted with how to use that.

He's just also fascinated by this specific man. Still watching him as he writes as a matter of fact.

I'll find something for him to wear that will help him 'blend in'. It's an easy argument to make. Am I suggesting he send his armor home, or do you have some particular desire for it? to stay within Gotham or very specifically and personally.

Why would his father? ...because he can?