Unions are the new National Socialists, basically, same as 1939. Note: National SOCIALISTS were socialist. And, don't bother trying to persuade me they were somehow right wing.
The National Socialists in 1930s-40s Germany called themselves "socialists" for branding purposes. They wanted to appeal to the working class. And it worked. But they were anything but socialists.
North Korea calls itself the Democratic People's Republic of Korea. Does that mean it's a democratic country?
You're right for the most part, here's some additional context.
One of the core tenants of fascism is the redefinition and reshaping of the language, Hitler wanted to reform the German language, one of the biggest things was trying to expunge any French words from the German language, because he believed that if you changed the language you could control the way people think.
Socialism was one of these words. They wanted to, in Hitler's own words, "take back the word [Socialism] from the Bolsheviks", Obviously this didn't work as to this day we use a Bolshevik definition. The Nazi ideal of socialism is closer to what we'd call a civic duty. You were meant to care for your community, contribute time and goods for the common good (common weal as Hitler called it). Even this kind of thing got twisted, as we saw from Aktion T4, the enforced euthanasia of anyone who didn't contribute (the disabled, infirm, elderly, birth defects, the feeble minded, basically anyone who might be a burden to the state).
Hitler and the Nazis literally had a different definition for "socialism". Of course it never caught on.