I'm not getting notifications of moderated posts
I use a service called net intelligence to filter out unwanted emails before they even reach my inbox. This does mean I sometimes don't get emails I want! In particular it filters out emails coming indirectly from a different server - words like 'bounce', 'mailer' included in the senders email will definitely cause it to be blocked. Interestingly if I allow it through, I see a 'normal' email address. For AF The start of the email is not forum@accessforums.net as you would expect it is

Return-Path: <root@mail.petforums.com>
Received: from cyrus5.iomartmail.com ([unix socket])
by cyrus5.iomartmail.com with LMTPA;
Thu, 28 Jul 2022 18:20:55 +0100
X-Sieve: CMU Sieve 2.4
...
...
much further down you finally get
From: "Microsoft Access Forums" <forum@accessforums.net>
Auto-Submitted: auto-generated



so I have to allow emails from root@mail.petforums.com to receive responses

If you have outlook, to see the full email journey, open the email then go to file>properties

Emails from AWF start with

Return-Path: <admin@access-programmers.co.uk>
Received: from cyrus5.iomartmail.com ([unix socket])
by cyrus5.iomartmail.com with LMTPA;
Thu, 28 Jul 2022 17:34:52 +0100
X-Sieve: CMU Sieve 2.4

and they come through without a problem


Not suggesting gmail uses net intelligence, but they might be using something similar