Red badge on SP

What you seek might be possible with a Terminal command. It's harmless and revertible, but I can't personally confirm it works unless the same thing happens on one of my Macs.

First, open Software Update > Advanced... and de-select one or more of the choices under "Automatically".

Then, in Terminal:

defaults write com.apple.systempreferences AttentionPrefBundleIDs 0

Log out or restart your Mac. The badge should be gone. It might come back on its own though.

To undo the above replace the 0 at the end with 1

Hello John

Unfortunately, that does not help either. Thanks for trying though. Clearly apple community rely on each other but, I don't find any constructive interjection from apple themselves. Perhaps it's time I went back to Linux.