At least until Thursday (if they take a QB), the Steelers apparently don't think he's "alienated" himself in that way just yet. They can pull the plug at any moment they so desire.
Not saying that you are saying this, but I keep hearing folks in the media saying things like "Rodgers is holding the Steelers hostage". What a load of hogwash. If the Steelers are being "held hostage," it's 100% by their own volition. They are in complete control of the situation. Rodgers isn't under contract with them, and right now owes them absolutely nothing. Zilch. At the same time...Rodgers isn't under contract with them, so they ALSO owe him nothing and have no obligation to continue pursuing him or "leaving the door open". This situation is entirely of their own making. The only "leverage" or "power" that Rodgers has right now is that which Pittsburgh (or any other potentially interested party) is *choosing* to afford to him.
So, in any case, it seems that whatever "Drama" Rodgers is creating...it's apparently not yet reached a point that has caused the Steelers to cut bait. We have been hearing all off-season how Rodgers will bring drama and dysfunction, he's got too much baggage, he wants to make everything about him and doesn't care about the team, AND on top of that he's washed up and just an average-to-slightly above-average quarterback at this point. And yet the Steelers are seemingly still interested in the prospect of having him join them??? Maybe they are waiting to see how the draft shakes out and they'll draft a QB and be done at that point. Maybe they are SO desperate for a QB (and poorly-run, if all the above is true) that they are willing to overlook all of the negatives. Or maybe the Steelers (who I think are generally regarded as a very well-run and "steady" franchise) behind the scenes actually don't feel like there's nearly as much drama as the media likes to make it out to be???
I guess all that to say that A.) if Rodgers is as huge of a hassle as he's made out to be and B.) the Steelers are as well-run as generally believed to be, then I can't imagine a scenario in which they'd willingly choose to allow themselves to be "held hostage" or "strung along" in the way that they allegedly have been. I don't think "A" and "B" can both be true at the same time.