* Home Lab :: Running a partial/full enterprise IT stack for fun and education.
* Home Server :: Running primarily internal services like file storage, backups, media streaming, home automation, maybe some light networking.
* Home Cloud :: Running primarily external services on the public internet to replace 3rd party SaaS services. More often than not this is done with a VPS provider rather than physical hardware in your home.
So maybe you find the terminology annoying since everything is cloud these days but it's genuinely useful to us folks in the forums. You can also call "home cloud" selfhosting if you find it less jarring.