Signing the Unia, then rejecting it after some pro-Muslim agitators kicked themselves into gear is by definition “doubt”. Again, Rome had shown willingness to fight for the Byzantine causes for centuries after the Great Schism, but every charity reaches its limits when the recipient of it is acting two-faced.
What in heaven's name are you talking about, Alex? If you mean the rejection of Florence by the people and lower clergy, that's the way Orthodoxy works and always has. Hierarchs don't rule over us, though they often try to. We saw an example of it in this century with the removal of the unlamented Spyridon as Archbishop of America. It works the same way with dogmas. If the people do not evidence their acceptance of a dogma from a council, give their “Great Amen” as we say, by living out the dogma in their lives, it is no dogma. For example, the “dogma” against artificial non-abortifacient birth control would be no dogma in the Latin Church if you had the same sort of ecclesiology.