There are three main timelines on here:

🏠 Home - Posts from people you follow, plus posts featuring hashtags you follow

πŸ‘₯ Local - Public posts from people on your server

🌎 Federated - Public posts from people on any server

On the official Mastodon app, Local is known as "Community" and can be accessed by clicking the magnifying glass πŸ” and scrolling across to the Community tab.

There are no algorithms hiding or moving stuff. You see all the posts for each feed in chronological order.

@feditips on the iPad app, there’s the main feed which I assume is stuff I follow and then on the right something called Posts, which I have no clue what that is.
Web and device app devs/designers should talk to each other and come up w some consistent labels across platforms.