Are you seeing alerts on the dashboard for the MX regarding DNS mis-configuration or disconnection to the cloud server?
Sounds like it could be a failure of one of the Meraki upstream connectivity tests. - https://documentation.meraki.com/MX/Firewall_and_Traffic_Shaping/Connection_Monitoring_for_WAN_Failover#Connectivity_Tests
Not sure if it's entirely helpful but I once hit an issue with my ISP connection which would only manifest on my MX. Packet captures indicated that the upstream was not returning the Meraki's ARP request for the default gateway and therefore it failed the WAN connectivity test. With this issue, I was seeing high packet loss reported in the dashboard
When swapping the MX for a computer or other 'dumb' router, I saw no issues.
From memory, mine was either an ISP end issue, or a factory reset on the modem sorted the issue.