I would say that socialist true believers have as their goal the largest gap possible between rich and poor, because their policies couldn't be designed better to have such an outcome.
Look at any socialist country. The populace is almost uniformly dirt poor, while the privileged class--the socialist politicians and their cronies--indulge in luxury life-styles better than those of any king in history. The wealth of their lifestyle is highlighted by the abysmal poverty of the common people--which of course, is another incentive for them to push "socialism." If you're rich, but the common non-rich person has a lifestyle comparable to yours in every way that matters (decent food, housing, clothing, and medical care), then how can you effectively flaunt your wealth? But if the common person has almost nothing, not only do you get to flaunt your superior wealth, you can show off your "generosity" by handing out measly little trinkets and crumbs that cost almost nothing for you to give away.
I’ve said for quite a while that it isn’t enough for elitists to be wealthy to the point there’s no luxury they can’t afford -
they have to make sure that there is as large of a possible “difference” between their lifestyle and that of the masses.