help() of a method wrongly identifies it as a module-level function

Consider the following class:

class K:
    def verbify(self):
        """Docstring"""

help() on the unbound method (actually a function) K.verbify wrongly identifies it as a module-level function, displaying this in Python3.10:

Help on function verbify in module __main__:

verbify(self)
    Docstring

It should identify the function using __qualname__ rather than __name__':

>>> K.verbify.__qualname__
'K.verbify'
>>> K.verbify.__name__
'verbify'

In contrast, help() on the bound method correctly identifies that verbify is a method belonging to K: help(K().verbify) displays verbify() method of __main__.K instance.

Reproduce the issue with the provided K.verbify example and compare help(K.verbify) with help(K().verbify). Trace the implementation used by help() and update the unbound-function description to use qualname; done when it identifies K.verbify while preserving the existing bound-method description.