Connection local profiles uses default instead of created one

Dear TRAMP community,

I'm trying to figure out how to set connection local profiles properly.
The problem is, when connecting through ssh using TRAMP, it never uses
the profile I want.

I connect through with /ssh:username@remote/
and I have set up my profile as follow:

(connection-local-set-profile-variables
 'remote-bird
 '((detached-shell-program . "/usr/bin/bash")
   (detached-session-directory . "~/tmp")
   (detached-dtach-program . "dtach")
   (shell-file-name . "/usr/bin/bash")
   (shell-command-switch . "-c")
   (conda-anaconda-home . "/CONDAS/users/username/anaconda3")
   (conda--executable-path . "/CONDAS/users/username/anaconda3/condabin/conda")
   (shell-interactive-switch . "-i")))

(connection-local-set-profiles
 '(:application tramp :protocol "ssh" :user "username" :machine "remote") 'remote-bird)

Relevant variables:
-  connection-local-profile-alist:
    ((remote-bird
    (detached-shell-program . "/usr/bin/bash")
    (detached-session-directory . "~/tmp")
    (detached-dtach-program . "dtach")
    (shell-file-name . "/usr/bin/bash")
    (shell-command-switch . "-c")
    (conda-anaconda-home . "/CONDAS/users/username/anaconda3")
    (conda--executable-path . "/CONDAS/users/username/anaconda3/condabin/conda")
    (shell-interactive-switch . "-i"))
    (tramp-connection-local-default-shell-profile
    (shell-file-name . "/bin/sh")
    (shell-command-switch . "-c"))
    (tramp-connection-local-default-system-profile
    (path-separator . ":")
    (null-device . "/dev/null")))


- connection-local-criteria-alist is a variable defined in
    (((:application tramp :protocol "ssh" :user "username" :machine "remote")
    remote-bird)
    ((:protocol "ssh")
    remote-bird)
    ((:application tramp)
    tramp-connection-local-default-system-profile tramp-connection-local-default-shell-profile))


I don't understand why the remote-bird profile is not used with that set up.
Anything I could do to make it work ?

Best regards,
Simon

--
Simon CHEVOLLEAU