There's a huge legal distinction there, and it affects taxes, liability, etc. It's distinct from the lay understanding of "working for Uber".

If someone is doing a Doordash delivery, runs a red light and hits someone, is it Doordash's fault? If Doordash has a policy encouraging running red lights, sure; but if it's just because they as an individual made a bad decision, Doordash shouldn't be liable.

The legal system should assign blame to the guilty, not encourage hunting for a tenuous connection to whoever has the deepest pockets.

If someone is doing a Doordash delivery, runs a red light and hits someone, is it Doordash's fault?

Yes. This is settled law dude. It's a form of vicarious liability and had been around for a very long time.