  In this note we provide a general framework for the construction of the
Einstein frame within non-linear extensions of the teleparallel equivalents of
General Relativity. These include the metric teleparallel and the symmetric
teleparallel but also the general teleparallel theories. We write the actions
in a form where we separate the Einstein-Hilbert term, the conformal mode due
to the non-linear nature of the theories (which is analogous to the extra
degree of freedom in $f(R)$ theories) and the sector that manifestly shows the
dynamics arising from the breaking of local symmetries. This frame is then used
to study the theories around the Minkowski background and we show how all the
non-linear extensions share the same quadratic action around Minkowski. As a
matter of fact, we find that the gauge symmetries that are lost by going to the
non-linear generalisations of the teleparallel General Relativity equivalents,
arise as accidental symmetries in the linear theory around Minkowski.
Remarkably, we also find that the conformal mode can be absorbed into a Weyl
rescaling of the metric at this order and, consequently, it disappears from the
linear spectrum so only the usual massless spin 2 perturbation propagates.
These findings unify in a common framework the known fact that no additional
modes propagate on Minkowski backgrounds and we can trace it back to the
existence of accidental gauge symmetries of such a background.
