Exiting copy / scrollback mode upon detach in byobu / screen
Solution 1:
Your assessment is correct, the program running within the scrollback-mode window is stopping because its output buffer is full and it is suspended waiting to write. This behavior is both correct and desirable; the user entered scrollback mode to view the screen contents but as you have noticed, this is not convenient nor obvious when the session is detached.
Unfortunately it appears to be a missing feature in both gnu-screen and tmux. byobu wouldn't be able to fix it in a wrapper because it can't detect the scrollback state of a given window, nor can it break a window out of it using external commands, though it could send commands to the terminal like the user would, were it able to detect or remember the scrollback state. Neither screen nor tmux appear to include a feature to enable automatically reverting from scrollback mode when the terminal is detached. A patch would be required.