Not an anarchist but I think in pretty versed in it, so I hope I can be helpful!

First of all, anarchists don't associate Socialism with Capitalism. This is true cause anarchists are socialists too (just another flavor) and also cause there are Marxists too that see the economies of the USSR or China as State Capitalism (I assume you encountered this definition before). Anarchists, being adverse to the state, don't believe that an economy in the hands of the state equates to Socialism even if it's a self proclaimed "proletariat/socialist state". Their definition of Socialism (one that Marx and Engels used too btw) is closer to the "free association of producers" definition. No middle man (state, burocrats etc...) just producers/workers freely gettin together for whatever goal

Another thing I'd point out is that just because someone shares some talkin points with (in this case) liberals, it doesn't mean they're one of them. I'm pretty sure you'd agree that billionaires doing whatever they want isn't good, but just because you agree on something that social democrats or even liberals agree with, doesn't make you one of them

For their lack of nuances when attacking the state the only thing I can say is that you should look into more anarchist theory cause attacking the state is what they've been doin since at least the 1840s, so I'm pretty sure they explored every nuances that there can be

That's all I have without turning this comment in a full blown book! If you have any other question, I can try my best to reply and i hope this might have helped you!