Intuitively, that's how I assumed it already worked, and it's probably what most new users will also expect. But a single global identity also runs counter to the idea of decentralization, and could invite other further complications.
The current experience can still be pretty jarring.
The superior app experience may end up finally tipping the scale on my perpetual indecision between Lemmy vs Kbin.
Complete the effect by combining them with a wristwatch broadcasting your heart rate and the transfixed stare of Apple's goggles.
It's a paid app only available for Windows and Mac at the moment, but Fork may be worth a look: https://git-fork.com
Gnome and some KDE applications used to offer tear-off menus that could be positioned anywhere, similar to NeXTSTEP and its derivatives. Seemed like a neat idea that still deserves some consideration.