Partially correct. When an EO is detected, yes the EOSID will be displayed on the ND.
However a TMPY FPL with an *insert prompt will appear only when a common leg/waypoint exists between the SID and EOSID before the diversion point. This is a design feature but only on few occasions will you be able to see this at work. In your network (easyjet) you will be able to see this off LEMD 36L where SSY is a common waypoint for both the SID and the EOSID.