Being unable to say "no" is also a great way to burn out in the first place. The advice of "just slack off" is often given in cases like these, but... if the person could do that, would they be burned out in the first place?
If he’s been doing as well as he claims, he can sit on his hands for a few months and start slow rolling his work.
You will be exponentially more attractive to recruiters while employed. Recruiters/HR will treat you as high value and will value your time a lot more if you are just changing jobs.
The opposite is true for someone looking for opportunities whilst unemployed, irrespective of industry experience.
The difference in recruited experience is massive having experienced both scenarios. It is just an unavoidable human bias from future employers.