You know, if Luca is related to Hayate and they somehow have the same thought process. The time takes Luca figuring out Hayate is a guy is probably the same length it took Hayate in figuring out that Hina doesn't hate him.
If I go further. Let's say all the kids who had big parental debt think the same way. Then, it will probably take Luca just as long to figure out Hayate is a guy as Hina took in figuring out she actually liked Hayate.
My guess, we're in for a long ride