That was my first thought but I can never remember how to check that. Then I had a look at one of my fedi scripts and realised I already wrote the code to work that out. Wow.. I hate when I write some useful code then forget that I even have it.
So indeed you are correct. My script to find relationships to a community piped to grep '(sdf|lemmy.ml)' yields:
lemmy.sdf.org NOT_ALLOWED
lemmy.ml NOT_AVAILABLE
That’s from the lemmy-federate.com dataset. I guess NOT_AVAILABLE means the db does not know whether lemmy.ml federates or defederates with that community.
I’ve never used a phone app for lemmy so I’m not familiar with your search tool. Interesting that it supports multiple accounts and searches all of them.