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I usually hear it referred to as the "fediverse", which seems catchier and solves the concern you have.

Fediverse also has the advantage that it refers to the community rather than the specific protocol. When mastodon spoke the ostatus protocol with gnusocial that was also fediverse.

I'd just like to interject for a moment. What you're referring to as Mastodon, is in fact, ActivityPub/Mastodon, or as I've recently taken to calling it, ActivityPub plus Mastodon.

;-)

Saying "On ActivityPub" instead of "On Mastodon" is likely a very good way to prevent any sort of mass adoption.

Mastodon is the name that has traction, being pedantic about this will just confuse users and reduce adoption.

Is this a joke? ActivityPub is a protocol isn't it? People are "on twitter", not "on http"

It's more like recommending a blog that's 'on Google Reader' vs. 'on RSS' (has an RSS feed). Or Matt Levine's 'Gmail newsletter' is popular around here.