I already wrote above that it doesn't matter what kind of mining a coin has, miners and coin holders will always want the maximum value.
I do not agree with you. In PoW mining you can sell all mined coins when you want and you do not need to have a coin to stake for mining. In PoS mining you must hold coins for staking to mine. The more coins you have for staking the more coins you mine. If price of coins falls it is not profitable to you to mine.