I mean, I had both kids and car. I also used public transport. I also breasted - personally, I am woman.

Calming crying kid on carrier is easier then while driving.

Breastfeeding in car is not all that comfortable and you cant drive while breastfeeding. Typically it is not that difficult to find reasonably private place within time limit since kid cries constantly. You are going to spend time somewhere, park or friend or shopping center. That somewhere has usually good solutions, otherwise you would not be spending time there.

I never used pee bottles and such.