Boss sees a typo or brand color is wrong? Yeah, they say something. Boss just thinks their idea is slightly better on a hunch? Don't say something.
It's good advice.
The idea that "ownership" can be lost by 2 cent changes is absurd. What happened to wanting team input anyway? Weird piece.
It's likely that already the project has a combination of elements coming from more than one person anyway.
I think it's clear that this isn't suggesting withholding of all feedback when appropriate. It's saying that a casual, "I like blue" when the design being presented is purple isn't really helpful. If the boss has data that shows that actually blue increases conversion by 5% then it is not just this "two cents" that the article is talking about, it's an entirely different conversation that doesn't fall under the scope of this article.