I don't think our system is actually built around such assumptions -- only Republican campaign propaganda is. As explained in the link I gave above, most federal aid programs go to the state overall rather than to individuals, and ironically the states that rely most heavily on federal aid are the red states, whose voters don't even realize how much they rely on the welfare programs they've been taught to despise.
I've read some very interesting stuff about how the US welfare system changed through the 20th century as the public image of the beneficiaries went from white widows raising children (and the system was designed so they wouldn't have to work) towards minorities, and began designing for recipients that are obligated to work.
I'm not sure if this is place where I first learned about it, but it does touch on the shift from welfare being something designed so recipients didn't have to work to being designed to force them to work.
Then there's the stuff about putting more and more restrictions on food stamps because they have some horror story about standing behind someone paying with an EBT card for a steak or a lobster or candy or some damn thing, as if poor people don't deserve nice things (and that there might be a logic crusading politicians and moral scolds aren't aware of; I heard once from someone who grew up in a harder circumstance than I did that in terms of calories-for-the-dollar, the best value was dry cake mix).
A few days ago,
Vox had an article about how focusing on Bill Gates' out-of-context, but still instructive, comments on taxation and the backlash to them wasn't really helping move the dialog forward (if you missed it, Gates made a hypothetical comment about having to pay $100 billion in taxes and having to wait and see which presidential candidate was more "reasonable" in 2020, which were widely taken as being him misinterpreting certain democratic tax proposals and mulling voting for Trump for tax reasons, where in reality he was likely engaging in hyperbole and playing coy because he operates apolitical institutions, respectively). There was the argument that Gates was the thin edge of the wedge, and that being able to show that even the "good" billionaire wasn't really good would bring attention to the issue, but the article argued that it actually obscured how rabidly anti-tax, I-got-mine-eff-you the majority of largely-unknown billionaires are.
Anywho, before the mod comes in, I want to go back briefly to the idea proposed in the blog post I linked to earlier, that 24th century citizens all had money, but such a large amount that it wasn't a day-to-day concern for them unless they intended to do something massive, like buy a starship or a moon or something. It does seem to square the circle for the on-screen stuff, though I'm now very interested on this idea of Starfleet pay scales.
There is an argument that, since everyone needs to live equally and money isn't a motivation, there's no reason for there to be a difference between a captain's pay and a dilithium miner, since they're both necessary, both require training, both dangerous. On the other hand, if everyone receives a bigger UBI benefit than they could reasonably spend unless they were moving into a new house every day or something, then there also wouldn't be the same moral cost to inequality. We'd all be billionaires, making keeping-score money that can't actually affect our buying power, so in that case, may it could be argued a captain does deserve more than a miner, especially if the captain is of uncommon ability and is able to amplify the talents of those under their command (as any good leader should; as I like to point out, management is a support role). If Picard being a captain means that the Enterprise can do as much as a captainless ship could if it had five times the crew, maybe he does deserve more credits (or whatever) in his account (or whatever).