Do you need an imprint (Switzerland) for a homepage?

It is a homepage of a Discord Server and a Twitch Streamer where the rules of the Discord etc. Stand

Naturally.

Purely private homepages theoretically need no imprint. However, if only an advertising banner o. Ä. On top, the site is already commercial and could be warned. That's the legal aspect.

The other: Your page is supposed to fulfill any purpose?
A site without imprint means in principle: "Stop me, read my page, but I will not tell you who I'm"
For a business building a pure nonsense.