Woah woah woah.
Moderation?
Are you mad?!
Fortunately, unlike the original suggestion, I think this article is actually a bit more fair, even if the headline is still click-baity.
Is resilience good? Of course!
Should you go for help every time you encounter a challenge? No, that'd be silly.
But never ever asking for help is still terrible advice.
Fortunately I don't think that's what the author is actually advocating, instead advising the obvious: don't use your co-workers as a crutch, but certainly use them as a support group when you're truly stymied.
But, of course, that's just common sense, and common sense doesn't a click-baity blog post make. ;)