Passengers don't get to make, or break FAA rules by a show of hands. And the off duty pilot has no more decision making authority than any other passenger.
The pilot, and ONLY the pilot, and aircrew, are in charge of decisions about the plane, AND the passengers and cargo.
As an example, a few months ago it was still against rules to use a phone or iPad or E reader during critical phases of flight. A lot of people did it anyway, and some were severely penalized for disobeying FAA and aircrew instructions. Makes no difference that TODAY passengers CAN use these devices, and safety has been established by the FAA.
The issue, again, is not at all about the child needing the bathroom, or the fact that she wet her pants. It is 100% about complying with rules and instructions of the aircrew, and not arguing or creating a disturbance dueling critical phases of flight. The mother, not the child.
There are, unfortunately, people who buck the rules at every wisp of desire or opportunity. There are folks who want to make a stand, or make a protest anywhere they want. People, none of us, have the legal right to shout anything we want in a security line or on an airplane. You give up rights when you enter the security line at the airport.
You can't yell "bomb" on a crowded airplane, and you can't argue with aircrew during critical phases. You have to stay in your seat and do as your told.
Some people just have a hard time following ANY rules. Some people have a real chip on their shoulder about any authority figures giving them direction. Some people think they should get to decide which rules to follow and when. Those folks have a hard time in life. They get into trouble a lot. A lot. They set a bad example for kids and others, and cause problems wherever they go. There is a time and place for bucking the status quo, and letting your voice be heard. When the plane is buttoned up awaiting takeoff is not the right time.
I would have far less problem with the mother's whiny media recruitment if she had shut her mouth and complied while on the plane. She caused a lot of problems, and delayed hundreds of people with her attitude and noncompliance. I don't think she deserves any apology, nor do I think she deserves compensation. I'm sad she chose to handle things the way she did. What she doesn't realize is that her name could be flagged in the security databases now. She may have more inconvenience in the future.
I'm sorry the crew didn't get to tell their side of story. I'm sorry JetBlue didn't stick up for their pilots and flight crew. It's sad the little girl had an accident, but the mother blew this all out of proportion, created a scene, and nearly got herself arrested. That's scary for her kids and family, IMO.