Well... tags are for discoverability. At the very least I think it would make sense to show them for the followers and poster. I don't know though. I suppose it boils down to how we imagine people intend unlisted to function.
To me it's just to keep it out of casual engagement, and searches are not casual engagement IMO.
... I'd probably want hashtags to include unlisted toots.
That's fine! Some people do that. Some instances are really specialized, like tenforward.social (star trek rp) or occult.camp (mostly discussion of the occult/spiritual) so people keep alt accounts there for when they are in the mood.
You are fine :)
Welcome to the fediverse! (That's what we call all the people you can find on mastodon)
An instance is one of the sites on mastodon. Our instance is https://this.mouse.rocks. @Metaph@scalie.business is on https://scalie.business. Mastodon lets anyone run their own site and access the anyone else on any other Mastodon site.
If that is all sounding a bit too technical: Don't worry about it!
You only need to know your instance is this.mouse.rocks.
The social network of the future: No ads, no corporate surveillance, ethical design, and decentralization! Own your data with Mastodon!