Action Center/update messages - can I suppress?

In my tray area, there's a flag: if I click on it, I get a popup saying

1 message

Change Windows Update settings

Open Action Center

[strange: "message" really does have a lower case first letter, as does
"settings". I thought Microsoft always Put Capital Letters On
Everything, so this is a refreshing change! Anyway that's by the by ...]

If I open Action Center, I see I have "Windows Update is set to check
with you before downloading and installing updates." Which is fine:
that's what I want; I have no desire (nor intention) to change it.

There is also a clickable "Turn off messages about Windows update".
However I _do_ want the popups that appear when updates are _available_:
if I click that, will I no longer get those? I just, ideally, would like
the flag to not appear in my tray when the only entry in it is "Change
Windows Update settings", but still get the popups when there are any.
Is this a forlorn hope?

I know I'm better off than most 10 users ("You VILL take updates! Haha!"
with fiendish cackle), but still ... (-:
--
J. P. Gilliver. UMRA: 1960/1985 MB++G()AL-IS-Ch++(p)Ar@T+H+Sh0!:`)DNAf

Won't you come into the garden? I would like my roses to see you. -Richard