You’re injecting your own definition of Lemmy. The normal definitions would be:
- The software running on the websites and webservers. It’s the same software running on all the websites, so it’s still only one Lemmy no matter how many websites it powers.
- The subset of the Fediverse that’s accessible via Lemmy software. There’s only one of that (although defederation makes it a little complicated as you can’t access all of Lemmy from any one website).












I’ve not seen it so much with Java, but for Lua, it’s not an English word, and most things in software are either English words or acronyms/initialisms, so it’s usually a safe heuristic to assume anything that isn’t an English word should be capitalised.