It would be amazing if it worked that way! But I don't think that it does. :(
emacsclient only tells the Emacs session it is talking to to create a new frame, either on an X11 display or on the tty where emacsclient is running. After that emacs does all the work, emacsclient just waits for emacs to tell it that it's done, it takes no active role in actually displaying stuff.
I would love to be wrong on this, please tell me if I am! I would love it if Emacs actually had its own remote display protocol.
emacsclient only tells the Emacs session it is talking to to create a new frame, either on an X11 display or on the tty where emacsclient is running. After that emacs does all the work, emacsclient just waits for emacs to tell it that it's done, it takes no active role in actually displaying stuff.
I would love to be wrong on this, please tell me if I am! I would love it if Emacs actually had its own remote display protocol.