[Macpatto]

When you created the Kodi Connect account.. what name did you use in there. (Kodi)? If that, then this is how it works.
Ask:
“Alexa play iron man on Kodi.”
She wil response:
“Playing iron man from kodi”.
Or what ever name you have assigned to it.
As you, I used AWS skill wich worked great for me, one thing I found is that if you leave AWS skill on your Kodi set-up you can use the “stop” function that apparantley does not work on this skill.
By Asking:
“ Alexa to tell Kodi to stop”
Also I can still use that skill to navigate
thru the entire Kodi interface.

Hope that helps!!