The notice_if_not_init function does not seem to work properly

Hello, I have the following problem when I try to use the fake_first_name function:

select anon.notice_if_not_init();
NOTICE:  The anon extension is not initialized.
HINT:  Use 'SELECT anon.init()' before running this function
 notice_if_not_init 
--------------------
 
(1 row)

select anon.fake_first_name();
 fake_first_name 
-----------------
 
(1 row)

I intentionally did not initialize anon but it did not send out the notification as expected. I want to know if this is the expected result

Looking forward to your reply!