Sometimes. People meeting in real life, exchanging email addresses, and noticing they're both on GMail, is common enough for some people, they really are on GMail. Implying they could chat trivially. But that's not applicable to the scenario under discussion.
Actually you'd just say you drove to the store. We don't really care if you own a car, a truck, and a SUV in your driveway. We don't expect you to have a horse and buggy.
The apostrophe is gonna get dropped eventually. Same as it did for 'net meaning internet.
I doubt fedi~ will be remembered after awhile. It'll be seen as pedantic, technical, or old school.
I don't know if people are generally sci-fi enough to think of you as on "planet Lemmy" but it would have a bit of snark like saying you're on planet Mars. Could be a good subculture lingo.
Dang I totally forgot all about that term. Been awhile. Well it eventually reduced to "surfing the net".
The thing about the internet, is it was the thing to make it only one net. Previously there were weird systems like bitnet, VMSnet, where you had to juggle email address encoding standards to get balkanized college campus networks to talk back and forth to each other.
"The web" became the subset of the net, that worked with web browsers. Only one thing.
Was there a "The Facebook" period? Or was that just a movie name?
So then we passed through a period of brands. Reddit is a brand. It is not altogether surprising that people would refer to the fediverse in terms of brands. Lemmy, kbin, beehaw, whatever.
Email and the web had/have specific protocols associated with them. The fediverse has multiple protocols. We're using ActivityPub, which seems to have won as a standard. It isn't exactly catchy or smooth flowing off the tongue.
Ok, if we try to brain crunch all these previous trends, here's what it's going to be called, if it hasn't been already:
THE VERSE
The difference between the fediverse and the universe will be forgotten. Linguistically, people will not keep up with that detail. Only old timers / early adopters will notice that linguistic change.
Possibly, 'verse' will come to be seen as short for multiverse.