Only if you have no people or capital in the EU. If you were a small business that sounds correct, but every medium to large business I have worked at has had at least something important going on in europe (clients, suppliers, offices, etc).
Almost certainly false in practice. It would be shady bordering on illegal to detain a mere employee of a GDPR violator. Unless you are a famous employee of a big company that was egregiously flouting the GDPR but also had no other ties to the EU, then maybe you’d rethink your holiday plans.