Have you considered using a client that doesn't stay scrolled all the way to the top (TweetBot has a toggle for "pin to top" for example)? I would find what you're describing pretty much a deal breaker in my use of twitter, so I use this feature and literally read every tweet from everyone I follow. When I open twitter (and it syncs between desktop/mobile), I'm at the same spot I was when I opened it last.
This seems to be the default in Twitter iOS app and I really like it as well. There's just a new tweets hover button that can be used to follow to the top. So long as they don't mess with this behavior I welcome new ways to find tweets . Just hope they don't turn it into Facebook wall type deal where nobody knows why they're seeing what they're seeing
