It'd probably be cold day in Hell before AI replaces veterinary services, for example. Perhaps for mild conditions, but I cannot imagine an AI robot trying to restrain an animal.
All these so-called safe jobs still depend on someone being able to afford those services. If I don't have a job, I can't go see the vet, the fact that no one else can do the vets job is irrelevant at such a point.
I would like to know if there's some kind of inflection point, like the so-called Laffer curve for taxes, where once an economy has X% unemployment, it effectively collapses. I'd imagine it goes: recession -> depression -> systemic crisis and appears to be somewhere between 30-40% unemployment based on history.