Drivers don't have issues with an uninvited dog passenger? As a dog owner, I find this surprising. But if drivers are OK with it it would be a great option for me because I don't own a car.
Obviously if it's a service dog they're required to transport it, but from knowing people with service dogs, it's still worth calling because some drivers are allergic and would rather you call another
But Uber is not a cab service; instead, they are trying to evade all the rules.