I don't think many people understand that if they use Lemmy or kbin, they are posting to the fediverse. There are other platforms and will be more to come. Referring to a post on "Lemmy" or "kbin" is like saying you saw a post on your Windows or Mac computer.
We should be referring to it as...
I saw it on the fediverse.
Hey fediverse users ...
A thread on the fediverse...
New terms may emerge but referring to the platform seems weird, almost ignorant.
edit: A better example is email. You wouldn't assume everyone is on Hotmail because that is the email provider you use. You say I'm sendingan eamail, not I'm sending a Hotmail.
"fediverse" isn't correct either - it's too broad. Kbin and Lemmy post to a part of the fediverse - the "threadiverse". Meanwhile job in can also post to the microblogverse connecting with Mastodon. And there is not one fediverse - ir is both separated by different algorithms for different bits and also within areas some bits federate with others.
If you want a good term for the threadiverse, then Feddit seems like a good catch all name?