  In the current literature, there are many discussions about the local Lorentz
invariance of modified teleparallel gravity. This symmetry is obviously
violated in the classical "pure tetrad" formulation of the theory, while it
gets restored in the "fully covariant" approach. My claim is that, despite many
heated discussions, the two formulations are just equivalent. And the purpose
of this note is to argue that the local Lorentz invariance is not natural for
the modified teleparallel theories at all, making the pure tetrad approach more
fundamentally justified.
