Thanks for the answer Jan,
But that does not fit the expectation. Maybe I misunderstood, if we use the custom url it is to avoid using the NodeAliasPath since it's not the url wanted.
It would work on the screenshot sample I make just to post here but for something as simple as the home page, by doing what you suggest I end with '/home' instead of '/' for the translated version or '/1' if I uncheck the custom URL checkbox. The tutorial sample only works because it use /Home as homepage...
I just tried adding Aliases, it does not seems to work neither...
I cannot believe that I am the only one who end with this problem, it must happens before already, it seems so standard.
Any other idea/option ?