I’ve gone through burnout and mentored a few dozen people going through it. It’s nothing to do with relaxing, or is confined to work. It’s all encompassing, has strong parallels and likely includes depression and an anxiety disorder. It has more of a sense of the inability to initiate anything rather than the inability to do nothing. Everything feels too hard, you feel too old, you see no prosperous future, and you yearn to end everything - not suicide, but to quit work, quit life, and disappear. These sounds like the appropriate mental response to unrelenting and uneasing stress to which you see no way out of. Most people suffering burn out spend an awful lot of time simply doing nothing.
However myself and the folks I’ve worked with as a mentor at work on burnout share the trait we lose the ability to identify things we enjoy - video games, music, travel, etc, lose their redeeming value and they can’t identify what music they like any more or a game they want to play. When they relax, it’s spent ruminating. To that extent maybe the articles point is true.
For me the way out was vipassana meditation and Buddhism. It taught me to master my rumination, detach myself from the stress, and discover the value of simply being rather than being someone or something. I recommend it to most people but only one or two have actually tried it.