Back to my mac iCloud account problem

Hello,

I am trying to run the "Back to my mac" function without success.

Everything works well with one of my iCloud accounts while with the other it does not, and this on the same session, same computer and through the same internet connection.

See screenshot 1 Not OK

See screenshot 2 OK

As this is in the same environment, I assume that there must be a problem with this account on Apple servers and not a problem with my machine or my internet connection.

I tried also tried to remove the "Back to mac" entries in my Keychain, but without success.

I have a MacBook Air under High Sierra 10.13.3 6.2 but it was already doing this on El Capitan...

What do you think ? Should I contact Apple or do you have another idea ?

Thanks in advance.

[Image Edited by Host to Remove Personal Information]