I think this is a great idea. I really don't want to advertise that I'm looking for work by putting the little suitcase next to my name on linkedin, my employer would know immediately if they ever looked.
Interesting take on a real problem.
All that will happen is the recruitment agents will monitor the HireMyFriend tweets, contact the potential candidate and it will be business as usual.
I don't think it's aiming to fix that problem. It's aiming to fix the problem where someone can't look for work publicly while still employed for fear of being fired.