They specifically said "app" which is why I interpreted it as exclusive to the app.
The other way around is a little confusing as a question because that's the primary purpose of Patreon and is mentioned on the homepage marketing (multiple payment tiers with exclusive content).
I'm willing to consider that they moved the goalpost and not you, but I still don't get how has this thread diverged.
I too got confused by oneeyedpigeon's question but I assumed from their claim about it being "setup and forget" that they simply don't know much about it.
You're half right; I just use Patreon differently, that's all. Upon reading your original comment, I remembered about the exclusive content, but that's something that's never personally interested me. I do use Patreon exclusively with a desktop browser, but I don't visit the site all that often because I tend to just subscribe to support a creator, then leave.
I should have probably said: "[...] exclusive content which is curated on [the creators] Patreon and [accessible to the user via the web browser or] their app."
Hope this clears things up. My main point was that there is in fact an incentive for users to check the app beyond setting up payment and forgetting about it. Even if it is not the only way such content is available, it certainly is a convenient one.