I would argue that maybe news is a reasonable analogy. By living in a certain community you will mostly consume local news. However that does not stop you from checking other towns’ newspapers. This is why I think the default client and web interface should have a federated tab so as to make it every obvious how easy it is to interact with other servers.
Mastodon
Decentralised and open source social network.
Using the word "server" is super confusing to me. My kid has a rack of servers in his room. Can I join one of those? No. They're not Mastodon or Lemmy servers. But I'm not joining the specific piece of hardware in some storage locker owned by Lemmy or Mastodon, either. Everything on the Internet is on a server. So what's different, here?
I think your analogy is a good one, well, a better one. If you're reading a newspaper, I think people have a better, inherent, understanding that the news might be different from paper to paper. But that's less the case on TV or the Internet. It's just news, regardless of source -- it's so monopolized.
Lemmy and Mastodon are "just the internet" to most people. A lot of them don't even distinguish social media as a separate category. They only see the presentation format of, say, Facebook or Twitter as different, and that's less and less the case all the time, as companies compete for each other's users. They don't really see them as different services, just different brands.
Source: I'm the person who teaches them to reset their passwords, how to print their paystubs, and how to get on Facebook.
You could even have other more accurate analogies: for example, you can use the telephone analogy. You can be on Verizon and still call people that are on AT&T, joining different providers. Heck, mastodon is a more realistic digital townsquare. You can join and be in any town, but that does not stop you from going into other towns to hear what they are talking about over there
I feel heard. I'm not sure the recommendation is a good one, but at least someone is trying to solve my problem.