Within parameters set by the company with strict penalties if you don’t obey them. So no, they don’t really choose.
provide their own resources
Like with school teachers, who are also employees, that’s exploitation, not independence.
complete the jobs they choose to accept.
Again, while fulfilling mandatory quotas, meaning that there’s a high risk of having to accept fares they would prefer not to, as per the rules of their EMPLOYER Uber/Lyft.