If your question is if you can update via the WebUI on port 4443, the answer is YES. Just select NC-Update there. Sorry if I misunderstand you, in that case REAPERSbattlecry is already enough.
I’ve one question
after update in the web page in the app area on the top of the page there is a missed icon the have the same function of the circle icon on the left
But this only answers the indirect question on “how to get the newest version”.
It doesnt address the “bug” that the autoupdate function of NCP seems to ignore the newest NC version it is advertising as supported. If it is no bug, but a feature then I’d miss any explanation, why it behaves the way it does.