Remnant symmetry, propagation, and evolution in $f(T)$ gravity

It was recently argued that $f(T)$ gravity could inherit “remnant symmetry” from the full Lorentz group, despite the fact that the theory is not locally Lorentz invariant. Confusion has arisen regarding the implication of this result for the previous works, which established that $f(T)$ gravity is pathological due to superluminal propagation, local acausality, and nonunique time evolution. We clarify that the existence of the “remnant group” does not rid the theory of these various problems but, instead, strongly supports it.