frozen modules are not regenerated on bytecode magic change when cross building

GitHub fields:

assignee = None
closed_at = None
created_at = <Date 2022-01-05.18:27:14.734>
labels = ['type-bug', 'build', '3.11']
title = 'frozen modules are not regenerated on bytecode magic change when cross building'
updated_at = <Date 2022-01-05.18:27:14.734>
user = 'https://github.com/tiran'

bugs.python.org fields:

activity = <Date 2022-01-05.18:27:14.734>
actor = 'christian.heimes'
assignee = 'none'
closed = False
closed_date = None
closer = None
components = ['Cross-Build']
creation = <Date 2022-01-05.18:27:14.734>
creator = 'christian.heimes'
dependencies = []
files = []
hgrepos = []
issue_num = 46271
keywords = []
message_count = 1.0
messages = ['409794']
nosy_count = 3.0
nosy_names = ['gvanrossum', 'christian.heimes', 'Alex.Willmer']
pr_nums = []
priority = 'normal'
resolution = None
stage = None
status = 'open'
superseder = None
type = 'behavior'
url = 'https://bugs.python.org/issue46271'
versions = ['Python 3.11']