Another significant difference is that newly generated PoS coins are going to people who are already holding the coins as a reward. That is generally not true for PoW. And more coins mean inflation so in essence PoS coins are rewarding stakers with free coins at the cost of inflation. Personally it doesn't make sense to me why anyone would invest into PoS coins especially considering the average lifespan of coins and how rapidly things change in crypto - but that's jut me.
You assume all POS algo's have inflation, which isn't the case.