would it be possible to have a hotkey for update and log view?
This will not be technically possible. I think that only active window of the plugin can react on keystrokes and then this request is losing its point.
But you can define a keyboard shortcut for "update" action of the plugin by writing a script which finds the PID of the plugin and sends it a SIGUSR2 signal and then define a shortcut in some keygrabber (e.g. Xfce Settings -> Keyboard -> Application Shortcuts) for running that script.
Because this request doesn't describe the bug I am closing it as invalid.