In real life, if you knew someone was an impostor pretending to be someone else, would you waste any time whatsoever interacting with them? No, maybe only to point out what they're doing is wrong. But a lot of impostors insist they are not so it makes things confusing every so often. Just not a nice thing to do to people you're trying to have a conversation with.
Even my ex started hating me more when she figured out that the guy she had been chatting with for a few months was not anyone else but me. Since she broke up with me and I couldn't accept it, I had to see her photo and talk to her. I created another Facebook account and reached out to her so I could speak. I pretended like I was someone who knew her, so she replied to me, and it worked. But she blocked me after a few weeks when she realized who I was. That was pretty sad at that time, and I cried. But it now sounds funny, and I laugh when I remember this. So I get your point. Good old teenage memory!