Thank you for responding! Your efforts in keeping up with Microsoft’s monthly changes are appreciated.
Microsoft is no longer releasing the SSU separately from the Windows CU. So there is no way to install KB5003637 (June) without first installing KB5003173 (May), because the SSU that is contained in KB5003173 (May) is necessary to install KB5003637 (June).
So if a machine’s last patch is KB5001330 (April), then what should be relevant is KB5003173 (May).
If a machine has KB5003173 (May), what should be relevant is KB5003637 (June).
It is not helpful to make KB5003637 (June) relevant on a machine that only has KB5001330 (April), because it fails if you try to install it.
It is not helpful to supersede KB5003173 (May) with KB5003637 (June) because KB5003173 (May) must be installed first.