I am listening to what you are saying. ok, so you did imply this is not the first contact. Just using a phrase to do so. Obviously you meant something different.
Walking out the door, also a phrase. Again, one that’s situational. It means they are on site. For talking on the phone, I’d say hang up. So again, implying its not the first contact.
Look, I also think it can be correctly handled, but your whole post makes it sound like a pushy sales narrative that is deceptive. Youre not outright calling for deception but the implication is there. I’m not the only one noticing it.
Maybe your choice of words is wrong, but when someone tells you who they are, listen.