  We will prove that the generalized Lie algebroid is a distinguished example
by Lie algebroid. The generality of it with respect to the Lie algebroid is
similar with the generality of the pull-back vector bundle with respect to the
vector bundle. Next, we will prove that the proof of Theorem 3.1 from [15] is a
misconception and the mentioned Theorem has no validity. Finally, we anatomize
an optimal control problem solvable in the generalized Lie algebroid framework
whereas Lie algebroid instrumentation can not solve it.
