Change Screen Resolution for Mac Built-in VNC (Screen Sharing)

displayremote desktopresolutionscreen-sharing

I am attempting to connect to a MacBook Pro from a Mac Pro with a 2560×1600 monitor using the built in screen sharing client. I would like to be able have the connection fill the entire screen, but currently the best I can do is set the MacbookPro's resolution to 1680×1050 which fills about 2/3 of the 2560×1600 monitor.

Since the built in client is really a vnc server, I would like to be able to set the 'served' resolution to 2560×1600 instead of the native resolution of the MacBook Pro. On a linux server this would be as simple as $vncserver -geometry 2560x1600 and then connecting to the created server. Is there a way to get the native mac vnc client to do this?

For what it is worth, I found the location of the client (on Sierra):
/System/Library/CoreServices/RemoteManagement/AppleVNCServer.bundle/Contents/MacOS/AppleVNCServer but can't figure out what arguments it might take (if any)

This post seemed to use ARDAgent to activate and configure the VNC server but did not mention anything about setting the resolution for the server.