My take on it is that socialism is still fundamentally a capitalist approach to resource distribution, while Communism does away with most private property. Some people like to try and dress it up more with ideals, but that’s the basic difference in practice – it doesn’t make sense in this context, from my pov, to talk about the imaginary “ideal” of communism, rather than the realistic implementations of it that have occurred.

So, like under communism everything is basically state owned. People who’ve lived under communism will hear things like “state owned grocery stores” and think “Oh shit, I’ve lived this – you get food stamps/allocations of food assigned by the govt, and that’s what you’re allowed to ‘buy’/‘eat’. And the govt workers will get better stamps/allocations, cause it’ll be inevitably corrupt. This is bad!”. (I’ve heard this very sentiment from people who fled communist states, when topics like Mamdani’s govt run stores comes up). Applied communism isn’t some idyllic fairytale, it’s more “The state has declared the university system too elitist, so we’re forcing you all to do back breaking labour in the fields. Refusal means firing squad”.

Under a socialist approach, you get things like private stores, honoring things like food stamps that are provided to people in need, but most of the transactions are done without government involvement. The talk of setting up government run grocery stores, is viewed more as “We want to provide a baseline that can sell food at cost, but we still want private stores too, especially for more luxury/foreign goods and other options/competition in the market. Having a market option that is providing cheap generic products should have a stabilizing effect on food prices, and downward pressure on cost of living in general for folks”. To provide these services, socialist regimes typically have higher tax rates on private citizens – but those taxes are still fundamentally driven by a capitalist system of private property and individual choice/freedom.