What does “people on other app servers” mean? That’s not a thing.
App servers are aggregators. You can use any to read the network. Here’s a post I wrote, as seen via Bluesky aggregator:
https://bsky.app/profile/danabra.mov/post/3mol3gyikac2d
A second later, I could see the same post via the Blacksky community aggregator: https://blacksky.community/profile/did:plc:fpruhuo22xkm5o7tt...
Here’s the same post on pdsls which reads it directly from my hosting: https://pdsls.dev/at://did:plc:fpruhuo22xkm5o7ttr2ktxdo/app....
My hosting is managed by Bluesky but it has nothing to do with Bluesky app. Hosting is a separate decoupled thing. I could move hosting to my own Docker container, and all aggregators would see my posts just as fine.
Does this clear things up?