[Samsung Galaxy S22 Ultra] Will_T:
I have always used Gmail before I went to Fairemail a month or so ago. Fairemail ruined me for email apps and I will likely never be completely happy again with one.

I don't mind Gmail but for a few things. One is the way Google refuses to integrate a true unified inbox. Annoying to have to keep switching between or manually combine them choosing the menu and then "All inboxes" every time you use the app. But I can deal with that if not for the problem Gmail has had for years with delayed notifications of new emails.

The delay is discussed in many places, including here and Android Central. Google knows about it for years but has done nothing. I, and probably thousands of others, have tried every suggestion from battery, to background, (literally 15 or 20 different suggestions), to keep the Gmail app awake but the only thing that works is what I did for years on my old Pixel phone, a batch file to prevent Doze. That worked but has to be run by connecting your phone to your Windows computer and running the file every time the phone is restarted. Nothing else has worked.

https://xdaforums.com/search/41650503/?q=gmail+delayed+notifications&o=relevance

Delayed Gmail notifications fix?

Just got the S 22 ultra. Still get deleted Gmail notification if the phone is idle for more than five minutes. If it's on charge or I recently said it down under five minutes Gmail notifications come through as normal. When it's been sitting for more than five minutes I'll pick my phone up and...

forums.androidcentral.com

There are some that claim they never get delayed notifications. But I think either they don't realize it is happening to them, or their phone usage is such that the phone is never asleep long enough for it to start happening. One way I notice it is that if I am on my computer I will get several emails on the Gmail web page I keep open in another tab and instant pop up notification on my computer. But my phone, sitting untouched for an hour or two right on my desk gets no notifications that those emails arrived. That is until I wake the phone up or some other app wakes it up. Then notifications for all the delayed emails come in at once. Usually the delay is only 15 to 30 minutes or so before some event wakes the phone up enough to allow, but I have noticed as long as a couple of hours before.

I have a friend who claims he gets his email notifications all the time, on time. But when pressed it is obvious he does not really know for sure because he has no way to tell. He just assumes that because he gets notifications when his phone is awake, and gets them instantly when he picks the phone up and unlocks the screen, that means they are arriving as they should. He does not use Gmail on the web so would not know that some of the emails he gets when his phone awakes were already available on the Gmail webpage where there is no delay.

I have had my wife come into my office and ask me and ask if I got her email. I will say no, but then unlock my phone and the notification that should have come an hour earlier will come through right then.

If Google would just fix that and make a truly unified inbox, then I would go back to using the Gmail app.