Except for cryptocurrency exchanges. Bitstamp and others are known for this level of customer due diligence. More will follow.
I think it's clear from the scope of the FATF travel rule and 4th/5th AML Directives that VASPs are going to be regulated more strictly than traditional banks. The 5th directive limits anonymous remote or online transactions to €50, which basically destroys the notion of anonymous trading accounts. Not to mention the customer due diligence and suspicious activity reporting requirements, which extend to all custodial platforms and don't seem to have clear minimum thresholds.
I agree. I still don't think it's nonsense, though. Regulators are breathing down the neck of custodial/centralized services very hard right now. I'd love to be a fly on the wall in the war room of these exchanges to understand what they're dealing with.
My sense is that it's a "rock and a hard place" situation. The only real solution for end users is don't use centralized exchanges, particularly large ones that are being targeted by regulators and law enforcement agencies.