They did not invent the saying, i just did a little googling and it seems they didn't even use it on all the camps. It was preserved from previous wars and it became a horrible sign in the context of the holocaust.
I could see how that specific saying is tainted in German but I do not think it should be tainted for all of history and in all translations because of some unfortunate coincidence. I believe it has wisdom to share
I mean they didn’t invent it, but the author of the book that did was a member of the German Nationalist movement that eventually (~75 years later) evolved into the Nazi party.
It’s not like it was completely disassociated with Nazi history and then they decided to put it on their camps because it sounded cool. They literally wanted to work people to death, i.e. freedom.
I could see how that specific saying is tainted in German but I do not think it should be tainted for all of history and in all translations because of some unfortunate coincidence. I believe it has wisdom to share