The reason all of those things need cars right now isn’t because they inherently need cars. For groceries, you can easily wheel around a small cart if the grocery store is a 5 minute walk away. (If your neighborhood is designed for walking.) A lot of disabled people who can’t ride on public transportation without specialized vehicles probably can’t drive cars either. (Some common types of disabilities where you need a specialized vehicle are probably like disabilities where you faint (which is quite the liability driving a moving vehicle) or disabilities where your legs don’t work or are weak (you do need reliably working legs to drive a car, afaik. There are modified versions to solve that but depending there’s likely still the difficulty of getting out/in of the car each time as well))

I’m not saying bikes are less dangerous than cars, but they’re not more dangerous either.

It’s also not about nobody owning a car. Cars will always be necessary for some jobs or locations. Just owning a car should not be a requirement to live.