FAQ

Wake-up on signal does not work well if laptop connected to BRAVIA Professional Display through docking station or change only signal from Laptop.[EZ20L]

This is known issue.
If the docking station is supplied with power source, then wake-up on signal does not work as expected.
Direct plug and unplug HDMI cable from laptop or BRAVIA Professional Display works fine.
This issue is fixed with Software version 60737. Please update your BRAVIA Professional Display to version 60737 or later.