Angie's List seems like ... a list. I have the option of picking which independent contractor on the list I want to hire. I pay them, I don't have my credit card number on file with Angie's List. And in common speech I will "get an Uber" or "get a Lyft" to go somewhere, but I won't "get an Angie's List" (or even any slightly similar phrasing) to do some work, I'll "find someone from Angie's List." I definitely have never said that I'll "find a car service on Uber".
So yeah, I agree that Angie's List is clear of B and Uber/Lyft much less obviously so.
Having card on file is not a big difference - a lot of sites like Amazon or Yelp record cards, that doesn't mean Amazon sellers or Yelp business are employees on Amazon and Yelp. Ability to choose specific service provider is much more of a difference. But Uber could easily fix it (though it probably would raise some discrimination concerns, for example).
So yeah, I agree that Angie's List is clear of B and Uber/Lyft much less obviously so.