@classmethod doesn't set __wrapped__ the same way as functool's update_wrapper

GitHub fields:

assignee = None
closed_at = None
created_at = <Date 2021-08-20.12:07:01.236>
labels = ['extension-modules', 'type-bug', '3.9']
title = "@classmethod doesn't set __wrapped__ the same way as functool's update_wrapper"
updated_at = <Date 2021-08-20.12:07:01.236>
user = 'https://bugs.python.org/Thomas701'

bugs.python.org fields:

activity = <Date 2021-08-20.12:07:01.236>
actor = 'Thomas701'
assignee = 'none'
closed = False
closed_date = None
closer = None
components = ['Extension Modules']
creation = <Date 2021-08-20.12:07:01.236>
creator = 'Thomas701'
dependencies = []
files = []
hgrepos = []
issue_num = 44961
keywords = []
message_count = 1.0
messages = ['399965']
nosy_count = 1.0
nosy_names = ['Thomas701']
pr_nums = []
priority = 'normal'
resolution = None
stage = None
status = 'open'
superseder = None
type = 'behavior'
url = 'https://bugs.python.org/issue44961'
versions = ['Python 3.9']