Because they're dating, and Ace is stupid and he'll keep Zoro from dating back in your world but also doesn't want Zoro to. And Zoro already told him he doesn't want to so it's pointless to worry about, but Ace keeps thinking about it anyway.

[ what is with all the touching it's kind of weird. you don't smell or sound familiar at all yet even though technically he knows you. ]

Throwing me off rooftops would be stupid since I jump around on them anyway. The first time we met I kicked him off the roof.

So far I only know a little bit of Armaments because it's hard to punch someone made of fire without it.