Ordering off DoorDash seems to me like the worst possible case for agents (or Alexa voice speakers before them.)
I need to see the full menu, with prices and picture of the food and options. Having an agent in the middle is just going to slow me down.
I think the proposition only works if you consistently order the same items from the same restaurant (and so on). It makes the order more predictable ("hey siri, order the same takeout I got from X chinese spot last week").
I don't need to see a menu, prices, or options for that unless I want to deviate from it.