manu the word "website" is too limiting for the things enhance is already supporting!
Its chosen because "container" will confuse the average person. Its logical to us and after all its a docker container... However, when the average person logs in and they see "websites" they immediately think "ahh yes my website" instead of "what is this super technical nerd word 'container'?????"
Usually a good approach to UX is "the user is an idiot" That covers the people who shutdown when they see a "technical" scary word like "container" or "application" and think app on their phone.