Actually, the first version in 2002 worked by listening to a phone call. There were no apps really at the time, at least not in the iPhone sense (because it didn’t exist).
Maybe in a parallel dimension
where internet took a few more decades to be created we call a number to listen to our Twitter feed narrated by some robotic voice, and we get a bulletin/form every week where we write down who we want to follow or unfollow, and of course a field where to write our own tweets!
When I first used Twitter it wasn’t that far off. You could text your tweet to 40404 and it would post it. If I recall correctly it would also send you a text for any @‘s too