Sure, your definition works. Your place of work is obviously included into the list of location that needs to be accessible, since it's somewhere you commute to almost every day.

They’re not being obstinate. You are working very hard not to understand that your job has to be walkable too.

If your job makes you take a welder home with you at night, you need a new job.

If only the only people that use cars on a daily basis were the ones that actually need to, maybe you wouldn't be so bitter and angry about it.