That said, the fact that PoW has been running the longest and Bitcoin uses it to secure the most value of any chain and it has had 100% uptime for the last 9.5 years, means people naturally trust it more.
PoS also in theory incentivizes centralization of staking over time. It's already started to play out this way way with the top two stakers controlling 46% of the staked ETH on the Beacon Chain. With Bitcoin, because you constantly have to buy new hardware and find cheap energy every single block, there's been a constant rise and fall of large miners.
A related issue is that it's more fragile to government censorship as the Tornado Cash OFAC sanctions show. Bitcoin has had mixers sanctioned and it didn't affect the core chain at all. With Tornado Cash, it's possible that Coinbase and other US-based stakers will have to not validate certain transactions, which doesn’t work in PoS, so they've said they will stop staking if the US gov't decides OFAC applies to stakers (which there's a legal argument it does). It's a bit in the weeds, but basically Bitcoin/PoW works in a fundamentally different way, so miners can filter out transactions they legally aren't allow to process and all that happens is those transactions get validated in a future block by other miners.
One other is that PoS has no deterministic way to recover from a complete outage. If a huge EMP brought down every computer network on Earth, when they come back online, PoW has a clear rule for determining which chain is the real one. PoS does not, so it's unclear what would happen. This may seem like a small edge case, and it is, but trust and security are so important when $500B and growing is at stake that tiny edge cases matter.