This is the logical implication of the meritocratic ideology. If rich people deserve to be rich because of their merit, then by logic poor people deserve to be poor because of the opposite.
Aren't you looking at it only from an economical perspective though ?
And if you do it, it obviously can't be applied to every rich person, like assume you're Elon musk's son, well GG you're now the richest man alive ( after Elon dies ofc, and unless daddy pulls off some prank on you something and donates all of his money after he dies )
This category of rich people ( which it's probably the majority of rich people ? lol ) don't enter in the meritocracy category they just got lucky being born in the right family and that's about it.
But when it comes to offering some sort of service don't you think it's unfair / unethical to give people positions they can't fullfil ? Sure somebody is inevitably gonna be left out but he can sure benefit from a system that works governed by people who have proved they have the skill to run such system ( I mean if you're not jobless somebody hired you because you showed your skill was superior to all the other candidates and you offer the better service )
Poor people are poor because of other reasons not because of meritocracy