Well, you never did strike me as a BatCat shipper, if only given your general apathy towards both Batman and Catwoman .
But I think, even if it's not a relationship you find a appealing, that it can't be denied that Batman and Catwoman are one of DC's most iconic and popular romances, so I'm not surprised that this is being treated as a very big deal.
Though I think even those of us who are very into BatCat, myself included, can sense that this engagement or marriage will probably come apart at some point by the nature of who Bruce and Selina are and by the workings of Batman and Catwoman...but the story and the meaning to their relationship will still be valid and engaging.
I've been wanting a Catwoman appearance in 'Tec for a while now. If this makes it happen, I'm all for it .What might get me interested is if she appeared in 'Tec as a result of this, since to my knowledge Selina doesn't have much/any experience with the team members, so that would be a whole new canister of interactions and dynamics which could be opened up.
I think, while none of the other Robins are as mainstream as Dick, Damian is pretty high up there thanks to his media appearances and promotions, so I think his status is somewhat well-recognized.
But I never thought "The Button" implied Damian was more of Bruce's kid then the other sidekicks, because of the context.