Wow, I wish I could get all pissy and yell at my customers when they ask me to do things that are mildly inconvenient for me, but I am required by law to do. Your situation is why Uber exists.
So Uber stops drivers (for now), but what guarantees exist that Uber will keep doing that if they feel they can make more money that way? Or adding a 20x surge charge? This is why regulation exists that bans discrimination.
No guarantees. Why do you need guarantees? What's the cost of downloading the competitor's app? Even make your own non-discriminatory rideshare service, but if it's not sustainable, don't force the cost on others.
Regulations that attempt to guarantee total security while favoring entrenched interests are exactly why the current horrible taxi cab situation exists.
Freedom to compete is like bleach to the pathologies of entrenched lazy players.
If they start refusing trips or jack the price I will take my business to lyft. Competition dissuades companies from engaging in that type of behavior far better than legislation ever would.