Personally I'd sometimes appreciate it, especially from Lemmy to Mastodon. Sometimes I find something interresting or useful on Lemmy and I'd love to just boost it on my Mastodon. The way it's now is that I post the link to Lemmy post on my Mastodon and this isn't nice, f.e. now I have two comment sections (one on Lemmy, one on Mastodon) and if people on Mastodon want to join Lemmy discussion, they need to have Lemmy account.

Also the other way arround (from Mastodon to Lemmy) - sometimes I see screenshots of Mastodon messages. It shouldn't be like that, we should share the original post directly in Lemmy which would credit the author and we could join discussion

Edit. But btw this is already working ... sort of. In a very, very limited way. F.e. this is how I see this post in Tusky app with my Mastodon account. No image, no comments, it's ... meh. I think you can somehow join the discussion too or just reply to a single comment but again, it's very limited atm

The core similarity of all these platforms is content aggregation. The differences come down to how that content is served, categorized, and interacted with. Federation ideally distributes content to relevant communities, based on interest, regardless of platform preference.

Edit: Also, people you don't like will be on every site. We have tools to democratically tell those people we don't like their ideas, so using them will make every platform better.

It's about connecting with the maximum of people. You like how lemmy look but other people are used to how Twitter look and will choose Mastodon instead, but in the end what matters is that we can all talk to each other no matter our personal social media preferences.

The point you're missing is that it isn't about integrating significantly different platforms like lemmy and mastodon, but rather connecting platforms that are close enough.

Mastodon federates with misskey, firefish, iceshrimp, sharkey, (all extremely featured and very similar to mastodon), writefreely (more for blogging and writing but absolutely connects), some wordpress websites (there's a plugin), peertube (you can follow channels to see when videos are posted), friendica and who knows how many tiny custom instances.

This allows massive customisation of your experience.

Anyway, interop is more of a happy side-effect of using a common federation protocol

I'd like it, I'm a vtuber guy and being able to see my Oshi's tweets while I'm browsing lemmy on the toilet would be nice