We do, with a slightly charitable interpretation of LAMP.
We did have a brief stint with AWS, but that's thankfully over, partly because their Aurora Postgres-like cloud thing regularly would thrash to death because it doesn't have anywhere to store temporary data so a biggish join means out of memory, partly because the US law that says foreigners have no right to privacy from NSA with judicial review makes it illegal in Europe to use US providers unless data is encrypted client-side (see Schrems II).
I wish someone would start a sysadm contractor company offering setting up and maintaining servers at something like Hetzner. Take a service fee for being ready to respond to emergencies, bill for hours spent, and let Hetzner bill the hardware. Setting up a server isn't that bad, you can do that with a script, but ongoing maintenance and having someone always ready to respond to emergencies (that never occur, almost) is something you wouldn't mind having a competent sysadm take care of, as a developer.
I think there's a huge market for this in Europe with Schrems II, for those that aren't really deeply dependent on the software stack in cloud services. And you can get some beefy machines at Hetzner for pennies compared to Amazon or Google.