Mac email not syncing with iPad / iPhone

Question

I am having a problem with Mail on my Mac not syncing up properly, and the problem is with the iPad and iPhone. The mail account is an IMAP account on Godaddy; the problem goes back before Yosemite, but it has taken me quite a while to find out what the problem is, so I'm hoping for a solution.
The problem: I get a new email on my Godaddy account. It appears almost instantly on my iPad and iPhone, but it does not appear on my Mac. But, this doesn't happen all of the time, sometimes I do get the message on my Mac as well. I have worked with Godaddy support, and they had me delete the account from my Mac an recreate it, seemed to work but a couple hours later it broke again.
Diagnosis of problem: Okay, so I started trying to diagnose the problem on my own to see if I can find a repeatable scenario, and I did. Here is what I did and, ultimately, what the cause is:
I logged into GoDaddy's webmail application so I could monitor when email came in, then check to see if it was being picked up on the Mac. Whenever I found one on webmail that did not appear on the Mac I checked my iPad and iPhone, that is when I found out that the mail was appearing on those devices all of the time, without fail.
When a failure occurred I quit Mail on the Mac and restarted it, it alway found the missing mail, even if I had read it on the iPhone and iPad.
With this in hand what I tried was shutting down the WiFi connection on both the iPad and iPhone whenever I was home. What I found was that when the WiFi connection was turned off I never missed a single email on the Mac.
So, next step was to turn the WiFi connection back on for both devices and monitor emails. This is what I found:
If the email was read first on the mobile devices then it never made it to the Mac.
If the email appeared first on the Mac, then it also appeared on both mobile devices.
So, the problem is that if the mobile devices get hold of the email before the Mac gets at it, the Mac never sees the emails unless I quit Mail and restart it. But, if the Mac gets hold of the mail first, it appears on both mobile devices as well
Any Ideas / suggestions? Other than turning off WiFi on the mobile devices every day when I get home .

Answer 1

No, but you can go to your email provider's site and set up forwarding for your current email address to your new one.  That would allow not to miss any email while your friends are changing their contact information for you to your new address.  I did that with my old ISP POP account when I switched to iCloud email.  Just set up forwarding and inform everyone of your new address.