This is a question with baggage for me; I was the person who said "who cares?" when I fell in love in London, and the person 5, 10, 13 years on with children who was tired of the car situation being another loop hole out of taking responsibility / doing boring things.
I did not find it easy to learn to drive. I took a lot of lessons, all paid for by me in my junior job, and 4 tests. I do sympathise that for many it doesn't come naturally - I am one of those people.
However, that just means that living with someone who simply cannot be arsed stings even more. It's not easy for me either! but I bloody do it anyway, because someone has to.
What came with the car and the driving licence (a la breastfeeding) was that the whole chunk of Car Stuff was my responsibility, problem and expense (I REALLY resented cleaning the filthy car when I was the one who NEVER ate in it. An adult's snack wrappers stuffed into a door bin are a fucking insult) - including limping in freezing rain to pay for petrol, pregnant with SPD, on the 24 December, in the middle of a 250 mile journey up the M6. MOTs, parking permits, insurance, repairs, blah blah blah....
It was one of the things that was automatically discounted as having value because I did it. Anything he did was precious and he was to be cookie'd to hell and back for it; anything I did was the absolute very least I could do (like breastfeeding and then all the "well you were with the baby anyway so....")
Never again. I won't have a proper relationship again anyway, so I am free to fancy anyone I want as I'm actively avoiding getting lumbered with a man's shitness and inconvenience again; so I'd date a man who can't drive, in the way that I would date a man with a gambling problem - it's obviously setting you up for misery if you take their life on with yours, but there's nothing to stop you staring through smoke into a pair of feckless beautiful witty eyes and keeping your own life independent and secure.
I'm sure there are non drivers who are considerate and active, take responsibility, and so on but like I say.... I've got baggage.