I don’t follow your train of thought on obedience. Dolan is not infallible, and this invitation is hardly a doctrinal statement but rather a show of his own naivety, indifference or arrogance (take your pick).
In not speaking ill of him.
All priests take vows of obedience to their individual bishops or abbots. We, by saying we are a member of a parish, in a way say that we will be obedient to our priest.
Difficult when you don’t have and orthodox priest to imidtate. When the alter Christus really isn’t a stand in for Christ.