It's not that gotcha that you think it is. I worked a lot of hard jobs, for 10 years I did very hard and complicated work in very unpleasant environments for very very little money only because I loved what we did and the results of our labour, and I was good at it. I would be doing that still if I didn't need money to feed my family. In my years I've met a lot of people who were enjoying, properly enjoying jobs that other people will call hell. My job at the time, and to a big extend my job now, is something other people will never want to do for any amount of money.

Doctors make good money and we don’t have enough of them

And your conclusion isn't that the system of people working for money and only for money is a broken system that demonstrably doesn't work, but that we need to conserve it as long as we can because it was always done like that?
Yes, getting rid of money will absolutely help. Many people want to be doctors but can't afford the time or resources to either become one, or to actually put their existing education to use.
And as an example I've personally witnessed, being a doctor in Russia in the 90s was about the worst job you can get, you don't get any money, and I mean none, they were going multiple consecutive months without any salary. The shortage was about on par with the doctor's shortage in US right now. Trapping people in jobs they don't want to do is not something that helps humanity in any way.

Do kids need to go to school? Five days a week?

I struggle to understand how this is relevant to the conversation.