By all means, bring it up to us if you'd like... We respond to every email we get and we investigate all issues brought to us.
I must say, though, that coming to meta and just threatening to do that is a bit weird. Let's try to solve what looks like a fairly simple interpersonal issue before we escalate to the next level. Have you tried flagging these annoying messages for moderator attention and asking a site moderator to look into things first?
If all else fails, you can always ignore OrigamiRobot (or any other user) in chat and avoid seeing their messages altogether. Click on his name in chat and either choose "hide posts" (this is temporary and will reset if you refresh the page) or "ignore this user (everywhere)" (this is permanent until you explicitly unignore him).
I'm going to hold off on taking action based on this meta post to give the community here a chance to resolve things, but as I said earlier, don't hesitate to contact us with any issues or requests.