Statistical modelling is largely unrelated to machine learning in its ideology. If you're a professional Statistician then you're most likely working as part of some function heavily utilising randomised experiment design, or less frequently, observational designs. This would include hard sciences, actuarial sciences, finance (risk), manufacturing, poll/census research.
The main commercial opensource language for serious Statisticians is R. You can Google for the sorts of jobs requiring R as a marker, if you're interested in applications of Statistics unrelated to LLMs.
To answer your own question about classical ML, you can Google for jobs requiring the specific classical ML technologies in which you are interested as a marker.