Linguistics has been largely subsumed by CS (LLM, speech synthesis, translation). It's not an empirical science or social science and most of its theories are not falsifiable.
But generally speaking Chomsky's ideas, and in particular, the Universal Grammar are no longer in vogue.
Linguistics is a heterogenous field, an while some parts aren't empirical, others absolutely are. I can attest to that from the journal articles I read in undergrad. They had experimental data and statistical analyses.