No, I believe that PoW is equal to PoS if we measure all pros and cons. PoW or PoS is just a matter of trade-offs.
Unfortunately(from a perspective of curiosity), since Bitcoin has such a large lead and a much better network effect we are unlikely to see an fair battle between the two as history has shown that technologies must have a significant competitive
advantage to be able topple the established incumbent with such a sizable lead.
I am not suggesting PoS is slightly superior either but merely the fact that any alt has to be shown to be significantly superior to Bitcoin in order to catchup.
This is wrong i think.
Imagine you have two coins only.
Coin A is POW, it is 10 years old, it has 100 billion market cap, it has 5% inflation, it costs 1 billion to attack it and every merchant on earth accepts it.
Coin B is POS, it is 5 years old, it has 1 billion market cap, it has 0% inflation, it costs 1 billion to attack it and no merchant accepts it.
You can switch from one coin to the other one for free or very very cheaply.In this scenario every rational investor would chose to have most of his savings in coin B and he would switch to coin A only when he needs to spend.
As time goes by almost everyone moves from coin A to coin B, coin B market cap grows to 100 billion, coin A is slowly abandoned, merchants forget about it and start to accept coin B only.
This is why i thin the coin that will win the crypto race is the coin which provides the strongest network at the lowest cost.
Network effect might not be enough to save bitcoin.