I have to call you out on this. Most drivers have both apps installed in their phone and their behavior does not change because they got hailed through Uber.
I had a terrible experience with a Lyft driver. I took a Lyft home after a long flight where I wasn't feeling well. I mentioned something about not feeling well. The driver decided I was going to die and mess up his car. Then, he tried to dump me at McDonalds. Only after arguing with him for 10 minutes in the McDonalds parking lot and refusing to get out of the car, he reluctantly sorta agreed to take me to the hospital except he took me to the children's hospital.
I took a Lyft in Las Vegas where the driver was clearly mentally unstable (sounded and acted it), let us out at the wrong place in an unfamiliar neighborhood in a windstorm, and got out to piss in full view of both his headlights and the front of the wrong house. He then had to drive us to the right place grumbling the whole way. I've not ever had any ride/customer experience that even compares in confusion and intensity of uneasiness in an Uber, despite their shitty engineering work culture.
Lyft doesn't seem to do any form of real background checks. I had a driver that very clearly shouldn't have had a license and didn't speak a single word of English. The dude straight up blew through two reds.