gh-146625: fix module suggestions when using -S

[Locked-chess-official]

• Issue: Incorrect module suggestions when using -S #146625

[picnixz]

Please separate the changes. In this PR, only fix the -S behavior and add tests. In a separate, create a finder that would raise and add a test.

[bedevere-app]

A Python core developer has requested some changes be made to your pull request before we can consider merging it. If you could please address their requests along with any other requests in other reviews from core developers that would be appreciated.

Once you have made the requested changes, please leave a comment on this pull request containing the phrase I have made the requested changes; please review again. I will then notify any core developers who have left a review that you're ready for them to take another look at this pull request.

[Locked-chess-official]

I have made the requested changes; please review again

[bedevere-app]

Thanks for making the requested changes!

@picnixz: please review the changes made to this pull request.

[picnixz]

Thanks for splitting the PR. As I do not have much time this week, I'll let someone else review it (don't forget the NEWS entry)