Is POS a fundamental problem of ETH?

[cryptoassistent]

POS Proof of Stake is a distribution algorithm based on the quantity of already owned coins. That means, if simply put, 1 ETH for a major holder is easier to gain than 1ETH for a minor holder. That is making the value of coins less for whales that mine (because it is easy to regain the spent amount). When enough advantage over other participants of the ETH system is gained will that incentivise "free" money to be put  at malicious action?