Thank you for the clarification!
I do agree that there are three slight between "concentration", "death", and "extermination" camps when speaking about Nazi Germany. In France virtually only "concentration" is used in history classes as an umbrella term for all three. It's only very recently (less than 5 years) that I've seen people start to use the more nuanced term. (as an example, any French will tell you that Auschwitz is a concentration camp while it was, in fact, a death camp).
Yet I stand behind what I said about the word "concentration camp" be a strong and heavy word, since those were integral part in the final solution.
I'm not denying that the US has detainment camps akin to the "gentlest" camps from Nazi Germany, far from it. However, I fail to see the difference between e.g. the East Montana one and a large-scale 5k inmate prison, other than it's less regulated than a federal/regular prison thus with more abuse, and filled with regular people instead of criminals. According to the linked Wikipedia articles, the camp has been dubbed after the Alcatraz prison (known for all sorts of violations).
I may be wrong, and they may be indeed set up by ICE and the government to torture and kill the immigrants. I have a hard time to believe it though, as making a detainment camp to frighten and push immigrants to "go back" would me much more effective and less controversial. My guess would be the intent is the latter form of facility, but ends up being the former due to being staffed with ICE and not professional prison crew.
At any rate, even having detainment camps for non-convicted civilians is already too much. We're quick to point fingers at China and their labor camps for Uyghurs, but this is on the way. (as with the Nazi discussion, this is still far from what china does: ad-vitam detainment, children born in captivity, forced sterilization of people, forced religion, etc).