Yeah but they're still linked. Like, yeah socialism has nothing to do with welfare programmes. However in the real world where a government is involved government welfare programmes are the most obvious tools that the government uses to enact socialism. Talking about one leads into talking about the other. Unless we're talking anarchy.

Attica! Attica!

While that's technically true. It's not truly accurate. Considering that at the time a lot of these terms were coined. Healthcare was either nonexistent or a much different thing. Nationalizing basic needs makes a lot of sense in, and is often an agenda of socialist and communist systems.

Just because they don't match or evolved past those archaic definitions doesn't make you more right or them less ultimately. We might large that they should go further. But there's no true Scotsman Naval gazing is only counterproductive.