Cloudflare does this although to my knowledge it's not available without an Enterprise subscription which is the only thing they offer with this level of compliance anyway.
All lower plans maybe get PCI DSS and that's it.
It's a valid counter to my point - while they clearly can do it locking it behind an enterprise "talk to us" subscription is lame. That said they are generally customer, market, and product savvy and I suspect they know that any/most orgs that are able to pull off the broader process, etc for actual compliance with these requirements are in fundamentally different positions than some random startup with a bunch of consumer data.
We're also seeing more and more ambiguity with coaching platform startups, etc who don't have a covered entity in sight but that's a different topic for a different day.
I've spent most of my career in HIPAA-relevant startups. Generally, I think it's actually a disservice all around for Amazon to basically rubber stamp these architectures and solutions with a HIPAA BAA so that companies think they can call themselves "HIPAA compliant". That's not even what it's supposed to mean, let alone the virtually endless issues and process that need to happen throughout the org for "compliant" to actually mean anything. I haven't reviewed it but I'm certain the AWS BAA is so specific and exclusionary it's trivial to step outside of what it covers.
Yes these agreements are a piece of the puzzle but it's completely reckless to throw something together in AWS, present the BAA to a customer, and call yourselves "HIPAA compliant". Savvy customers, investors, etc will call you out but otherwise it's mostly just a matter of time before you discover your standalone AWS BAA is actually just one of the things on a 50 point (or whatever) checklist.