[e2e] should support running an application in as "realistic" a mode as possible #57623
Description
Currently, e2e bindings derive from the live widget test bindings, and relies on using testWidgets to test applications.
This means that the binding ends up overriding things that may make an integration test on a device work strangely - for example, overriding the screen resolution and system channels like text input.
This might need to be split into multiple smaller issues.
Related: #51885