I just thought I would post a helpful tip that worked for me. I as well as some others had trouble getting emby to respond with both the "emby home" and "emby" invocation names.
Just recently amazon updated the routines functionality be able to start a skill using routines. Being as how I only use the skill when I know what movie I want and just want to shout it out this worked well for me.
Simply go in to the routines section of the app and start a new voice triggered routine. For me I made my invocation "Open The Server". Then choose the emby skill to open with that invocation.
Now If I have two kids hanging off me I can just say "Alexa open the server". She responds with "what would you like?" ..... "Play Lego movie" ..... "Lego Movie is now playing"
Hope this helps anyone who wanted to use their own custom invocation name.