pytest.skip in conftest/__init__ files doesn't work as expected

Problem description

Pytest has special mechanism to skip modules described here.

But when applying this to conftest.py (or __init__.py), this call skip entire package, not only that module. And this happened even with allow_module_level=False. For example:

# content of tests/test_package_A/confest.py
import sys
import pytest

if sys.version_info < (3, 11):
    pytest.skip("Python>=3.11 is required. ", allow_module_level=False)

Pytest and operating system versions

pytest 8.2.1
MacOS Monterey 12.3.1 (21E258)

Expecting behaviour

1- Do not allow using pytest.skip(allow_module_level=False) in conftest.py (or __init__.py). The same, as It's not allowed for test modules. So, expected error message might be the same:

Using pytest.skip outside of a test will skip the entire module. If that's your intention, pass allow_module_level=True

2- And even more, I would suggest that another flag should be set explicitly to skip entire directory/package. For example:

pytest.skip("Python>=3.11 is required. ", allow_package_level=True)   # package level flag specified here

Reproduce the behavior using the conftest.py example and compare it with the module-skipping guidance in the linked documentation. Trace how pytest handles pytest.skip in conftest.py and init.py, then define tests that verify the intended error for allow_module_level=False and the agreed behavior for package-level skipping.