Science Team leader is associated with Escort Class training and it should be Science Vessels. Tactical Team Leader is not associated and should be associated with the Escort Class tree. Starship Command should not be in any particular tree, but is associated with the Science Vessel tree.
Even if this is just alphabetical ordering, it is misleading to new players... like most of us.... who expect to have to fullfill nine ranks of a tree to move to the next grade of powers. So I would fix it so each tree starting skill is associated with the correct class of ship.