Thank you panchososa694 for responding to this post/discussion. Like Microsoft's answer it did not really guide me to a resolution. Your still correct, it was a Microsoft issue.
We resolved the Apple iOS Mail App Exchange sync/connectivity issue yesterday evening. I contacted Apple Support. I first spoke with Kyle who listened to the details of the issue and troubleshooting steps we have already performed. He immediately escalated to an Enterprise support engineer. I was connected to Kathryn who asked me additional questions. One question particularly was “How is the Exchange account setup for these users?”. When I explained it is pushed down by our MDM she suggested we test the Apple iOS Mail App without the MDM. This led me to start troubleshooting our On Prem MDM and identifying the root cause. I ended up engaging my network engineer.
Root Cause:
Microsoft had recently added additional IPs to outlook.office365.com. Our On Prem MDM Sentry server proxying the
Exchange traffic did not have all of the IP address on the Firewall whitelisted. This would explain the intermittency. The Firewall dynamically updates for these types of changes but not fast enough. We ended up getting the update IP range for outlook.offfice365.com and manually updated the Firewall for the MDM Sentry Mail proxy server.