If no "import" method can be found then the call is skipped.

That can construed as to only applying to use, so maybe the wording of the documentation should be changed.

It's documented in perlsub/Autoloading:

(As an exception, a method call to a nonexistent "import" or "unimport" method is just skipped instead.)

(The unimport case is new as of 5.6.1.)