Yeah, I also checked and I was wrong. Not needing an entry visa is nice, but in order to work legally, one needs to find a job before (or there are talent pathways in some countries, but they would work for most other countries).
I am just one of the "non-EU" (and non-US of that matters) people, whom Denmark doesn't like to have, but I'm still living there waiting for my perm residence.
It's always easier to think: "aah, other people have it better!" :)