Just out of curiosity, how would life be if your OH suddenly couldn't drive or if he died or left you? Would you and your children be able to have a "normal" life without access to a car?
I suppose that depends entirely on where you work, where you shop, where your kids' schools are, how often and comprehensive your public transport options are.
For lots of people, especially in London and other big cities, public transport is good and there are often lots of "walkable" amenities, so a car isn't really essential. However, in smaller cities, towns and villages, public transport is often poor, and there can often be few, if any, amenities such as shops, workplaces, entertainment, within walking distance.
So whether or not you're unreasonable really depends on your lifestyle and how dependant you are on your OH for doing the driving.
My MIL never learned to drive and was utterly reliant on FIL to ferry her around for shopping, entertainment, days out, part time work, etc., and she was utterly stuffed when he died unexpectedly and she ended up basically trapped in her home except for using taxis for essential trips. She spent years bemoaning that she never bothered learning to drive and bitterly regretted it.