As a manager this has been my biggest challenge.

I never telegraph my stress to my team members but used to often do it around my peers (managers on other teams).

Probably because I thought they could empathize so they'd be a sympathetic ear. A few complaints to the CEO about me later and now I've learned to do what the author describe. Even if the person is not someone who reports to you; just go get a coffee, take a walk, etc.

I am lucky in one regard though, Our CEO flat out told me if I need to stress out around someone do it around him. Which seems healthy and more productive then bottling it up.