Note that PoW works exactly like this too, except far worse due to economies of scale. Purchasing mining facilities in bulk will give you a much better deal than buying rigs as a home miner. Whereas in PoS, both the ultra-whale (1000 ETH) and mini-whale (32 ETH) are earning the same exact % return on their investment. The average user delegating in a staking pool is also earning fairly similar return to all validators (with some % of their return paid to validators for their services).
I do not think the claim that PoS is more centralizing or more “rich get richer” than PoW is necessarily true.