The main point the author is making is that PoS doesn’t require spending of any scarce resource on a per block level so the accuracy of the distributed clock is not to be trusted. I don't think they misunderstand their argument. You’re just not replying to it.
You spend "safety of your stacked money while having stacked a lot of money" it's a scarce resource as if you over spend it you lose your money. And the more money you have stacked the less interest you have into braking the currency as it makes you lose that money.
The article addresses that in the section starting:
>>Therefore, once they have withdrawn their deposits, they are untouchable. This is the “nothing at stake” problem. There will inevitably come a point when a node is free to liquidate their entire stake and cash out.
And later concludes that, In order to know which is the valid staking, you have to already have a decentralized mechanism for ordering transactions, which was the problem to begin with.