It’s not even a question of deserving it: We have real-world evidence that health care workers have quit/are quitting in large numbers, despite being offered higher wages, because of COVID-related stress. Single payer can’t fix that - you can only fix that by making it easier to be a health care worker (Edit: or paying even higher wages). That will implicitly have higher supply, lowering prices. Right now even with higher prices supply has dropped, which is the least desirable outcome for society. Even if they were covered by insurance, if there are no available workers, people will suffer, deserving or no. Single payer still has to pay for enough spare capacity to ensure everyone who needs care, gets it.
The few health workers remaining are doing well though - but if you taxed them more, the calculus would change - how much more would they need to be paid to keep working with higher stress, if they got taxed more? You would never make up the higher cost from their contribution, so you’d have to tax others more to pay for the higher healthcare salaries.
That "making it easier to be a healthcare worker" is key here. Because from a commodity standpoint, there is no reason to keep enough staff around to treat everyone, just so long as the people they do treat pay, and it becomes profitable. Single payer removes the commodity aspect. The healthcare system now isn't run for money, but for making sure everyone gets healthcare. So you can hire more people to ensure that people can comfortably work as a healthcare provider.
And we can see that this does not spin out into a cost sink because of the link I posted earlier. Every other country does this and pays for less per person.
Doctors agreed to join a career, not become permanent bondsmen. Everyone else can refuse to do a specific job you don't like (say, baking someone a particular cake); even employees can quit, and many doctors are of course self-employed. Like I said before, I'm not a fan of slavery as an economic solution.
More practically, though, regardless of whether you're a fan of it - do you think this will encourage more people to become doctors? Anything that restricts the supply of doctors will drive prices up.
This isn't slavery. They are being compensated just as everyone else is. What you are arguing for is someone's right to kill someone else by denying life saving care based on personal beliefs, and that is unacceptable.
Speak for yourself.
No, as someone who has a Bachelor's in Evolutionary Human Biology, I am also speaking for the scientific community in general. You can see the tug of war between selfishness and altruism in games like "the prisoners' dilemma".