We are well into the age of “OEMs dgaf if S3 works”. Windows has not used it since sometime around 7, so it’s been bitrotting in every vendor’s firmware. With some models, you may have S3 working on day one, but a firmware update kills it and that’s too bad.
S0ix idle is actually quite nice when you get it working, but when it is not the tools to diagnose it are terrible. The terminology around sleep states are also terrible, (what’s a package or core or platform C state? Could one of them find a different letter?). I have gone over the arch wiki, and DELETED Intel documents so many times…