is no lion or direwolfe
the tyrels are quite vegetative, the just go with the flow.
I don't consider them to be that important in the great scheme. At the moment they have their hands full with the invasion of the ironborn... I wouldn't sell them life insurance, would you?
but on the long run, although they have great military power, the tyrels are not competent players of the game, they take no chances, when dany comes aboard dorne will welcome her, and the tyrels will surrender the very same minute, after all, that is the very same thing that made the tyrels so high and mighty - surrendering to eagon the conqueror and his dragons.