If you have a Euro passport, you might as well torch your American one. There is no benefit to being identified as an American overseas when you have a European passport. In fact I would argue it is more dangerous. My family that were stuck in Kurdistan were able to avoid violence against Americans because they had Swedish passports. That little blue book is a death sentence in some places where something else wouldn't be.
"If you have a Euro passport, you might as well torch your American one."
Even if that were true, what proportion of US citizens living outside the US (the class to which my comment and the immediate parent referred) have a 'Euro passport'?
That doesn't make what I said less true. You speak to counter the claim of downsides to having an American passport, I'm providing evidence of harm to your livelihood in some parts of the world for having an American passport (versus any other kind of passport).