For Americans, for better or worse, its very large stick (the military) affords its citizens all sorts of benefits while traveling/living abroad.
This is mostly a myth.
There are lots of examples of cases where people from less RAWR MILITARY countries (like... Sweden) got pulled out of risky situations before the Americans did. In some cases Americans simply have not gotten rescued at all and left to fend for themselves! And the US doesn't perform that service for free... if you get rescued they charge you tens of thousands.
Being able to be negotiated out of detainment has more to do with politics and trade, and the US has a lot of political enemies. The countries where the US military is a factor are countries you're not likely to want to move to and make a living in anyway.
Being able to travel to countries is also weaker as a US citizen, since many countries apply reciprocity, and the US often has stricter immigration controls.
Being American living abroad is mostly a demerit. You can't open bank accounts due to FATCA, you have to pay expensive specialized accountants due to foreign taxation, and in many cases people just don't like you due to your government. I can't think of any situations where being American is a pro over being an EU citizen.
The USA isn’t exactly hurting for new citizens and it’s probably desirable to have expats incentivised to deliberately relinquish their passports.
Mind you I’m looking at this from the perspective of here in New Zealand, where there’s regular media stories about Australia deporting NZ citizens who moved over there as kids and ended up criminals. There’s no incentives to relinquish an NZ passport so Australia can revoke their citizenship, deport, and they become NZs problem.
That should be "intend to stay there forever", since renouncing your USA citizenship is typically permanent, once you renounce citizenship, it's difficult or impossible to regain it.
That large stick to me seems to rather hit Americans traveling abroad, in that the US military unfortunately a bit has given ( people from the US ) a bad rep at some places?
when instead I, from western/northern Europe, is welcomed wherever I go (it seems this far)