The requested fix was already included in gnome-software 48.3-2. Here
is an excerpt from that changelog entry:
* d/patches: Update from upstream gnome-48 branch, up to commit
48.3-6-g10fb1a6bb
- d/p/update-monitor-improve-logic-for-deciding-when-to-show-no.patch:
Reduce frequency of update notifications
(gnome-software#2856 upstream)
+ Don't notify users about out-of-date apt metadata until it's at
least 7 days old.
+ Don't nag users about software update actions more than once per
day, with the frequency reducing according to the importance of
the action we are suggesting.
+ Don't notify users about out-of-date apt metadata if we would not
be able to download it right now in any case. In particular this
prevents an annoying notification when resuming from suspend,
during which time we can expect that networking has not yet come
back up.
Thank you,
Jeremy Bícha