absolutely. I learned by example early on from our manager what one should say during something like a "vulnerability-trust exercise." : it should be something like "i'm too detail oriented", "i put too much time and effort into my job" or, max, "i trust/expect people to be similarly overly-diligent, etc.".

For an exec to talk about therapy - that is allowed only to the top dogs, like CEO, who can pass any personal crap upon his reports.