1) It's not a fair coin distribution mechanism. A coin that launches with PoS has the creators holding the entire supply.
2) It's not objective. Resolving long range attacks requires social consensus on what is the correct chain (https://academy.binance.com/en/glossary/weak-subjectivity)
3) It's much more complex.
I believe that the downside of PoW can be greatly reduced by having the emission be purely linear (fixing the block subsidy). Taking 20 years to reduce the yearly supply inflation to 5% will strongly discourage speculation and keep the price low, in turn limiting miner energy use. It would encourage use as an actual means of exchange / currency.