lazy module property not recognized by doctests

GitHub fields:

assignee = None
closed_at = None
created_at = <Date 2022-02-03.01:08:28.628>
labels = ['library', '3.11']
title = 'lazy module property not recognized by doctests'
updated_at = <Date 2022-02-03.01:08:28.628>
user = 'https://github.com/jaraco'

bugs.python.org fields:

activity = <Date 2022-02-03.01:08:28.628>
actor = 'jaraco'
assignee = 'none'
closed = False
closed_date = None
closer = None
components = ['Library (Lib)']
creation = <Date 2022-02-03.01:08:28.628>
creator = 'jaraco'
dependencies = []
files = []
hgrepos = []
issue_num = 46619
keywords = []
message_count = 1.0
messages = ['412409']
nosy_count = 1.0
nosy_names = ['jaraco']
pr_nums = []
priority = 'normal'
resolution = None
stage = None
status = 'open'
superseder = None
type = None
url = 'https://bugs.python.org/issue46619'
versions = ['Python 3.11']