I am not one to jump on the bandwagon kicking the guy when he is down (hmmm, what other cliches can I use), but I think Danny will be looking hard to do something like this, and I don't think it has anything to do with his recent play.
I think Danny has been relatively soured on Rondo for a few years now. Between the quirky personality, the inconsistent speed at which he plays (I won't call it lack of effort, but he definitely is not going all out all the time), and of course his lack of a shot, I just don't think he is Ainge's type of player.
We have heard rumors about him trying to move him in the past, and much like with Perk, I think there was some smoke there.
Now, don't get me wrong, I think he recognizes Rondo's value on this team, and understands he is a unique talent with a lot of value. I just don't think he is all that excited about the prospects of rebuilding (reloading, whatever you want to call it) with Rondo as a centerpiece. I think he knows that the shine is going to come off quickly when he is not playing with superstars, and his weaknesses will become more and more obvious as he is asked to both carry the load, and go further out of his comfort zone.
That is why I think he will be shopping him hard this summer and up until the trade deadline next year, hoping to land a guy like Paul, before Rondo loses his security blankets, and his value drops as he becomes more exposed.
Now, I don't think he will just give Rondo away, but if he can find a way to flip him for a more well rounded player, who might be more suited to being the primary star on a team (and even with the weak knees, Paul certainly qualifies), he will be aggressive pursuing it.