Nope. Not in this case. The dolphins WANT Manning, so why should they be treating him like he's applying for the job? Fact is, it's the phins applying for the job. So let them come to him. There's nothing desperate about it imo. I look at it as good manners and a smart negotiating tactic.
The best way to court someone you want to hire is making it look like you're coming to them, even if you've got to fly them to you. In no part of the process should it seem like Manning is looking for a job.
I'd say at this point the phins are in way better shape since they took the initiative. Riddle me this, assume Manning drags his feet through the start of FA. Other teams start bleeding capspace while the phins wait it out or court Saturday, Wayne, etc. Leaving them in a stronger bargaining position if Manning comes back to the table. If all else fails, go for Tannehill.
It's a smart play.