> No market means a Stalinist society.
It doesn't. That's just ideological propaganda.
> They'd rather the poor be poorer provided that the rich were less rich.
That is an absolutely reasonable stance? Wealth isn't absolute, it's relative. If the rich are less rich, more resources are available for everyone else.
Richness is about available resources. The poor being poorer means that they have even less resources, so it precludes that there would be "more resources available for everyone else". What you propose is the rich getting less rich and the poor getting less poor.