Is it too embarrassing to say whether you hold 1 BTC or not ?
or Is it too embarrassing to tell that you can't afford to hold at least one Bitcoin ?
It's not about being embarrassed but wanting to avoid any chance for $5 wrench attack in case your identity leaks out.
As a Bitcoin lover and investor you should be open minded to these type of things.
That doesn't mean that you should shout around how much bitcoin you have. All my close friends and family know that I am into bitcoin but I don't share with them how much I have exactly, even though I live in the part of the world with very low crime rate but why even take any chance?