In my view relative wealth matters as its relative wealth that can compete for influence not absolute wealth. Being the poorest person regardless of absolute wealth may have effect of reducing basic rights. Relatively poorer people typically have less influence, to an extent irrespective of absolute wealth.
It is the peeking order that can influence rights far beyond what may be considered economic rights property etc, being relatively well of in a country may buy more basic rights than being absolutely better off but relatively less well of in another country etc.
Relatively poor people can not afford lawyers, donations buy minister etc, bribes, or offer favours that the relatively better of can.
So even basic rights that don’t appear of economic nature can be influenced by being relatively poor if get punched buy someone much richer may be better to take on chin so to speak as may get outspend in any litigation. If someone richer crashed in your car they can outspend on defence get in scientists “hired gun” witnesses.
People concede all the time to people on a rational basis not based on rights or wrongs, when I got a bill from virgin media that seemed unfair I paid it. As they could outspend me, and the Experian credit system which has the effect of judge and jury in credit terms is paid for by them. Experian will lower rating on what amounts to the larger richer being. So even if correct and do not pay virgin media it is not their credit rating that will suffer it is the poor person so the rational thing to do is pay up in some instance.
Although credit rating is relatively benign of course just an example.
As well as happiness well-being social anxiety and what may be considered more frivolous considerations.
I meant to add this to my previous post looks like I am trawling a bit as I added a separate post in error. -)
update
A good book on getting people out of poverty is "Poor Economics by Esther Duflo and Abhijit Banerjee.
Why poor people squander money on short term gratification in developing countries rather than invest in future which seems futile and how these incentives can be changed etc If i remember correctly read years ago. ( same principles apply in the west to an extent)