Email notification fails

Posting more complete error messages can increase the chance. Fortunately I found a possible example:

Jun 25, 2018 9:30 AM: Failed to send message: System.Net.Sockets.SocketException: A socket operation was attempted to an unreachable network 8.8.8.8:53
{
"NativeErrorCode":10051,
"ClassName":"System.Net.Sockets.SocketException",
"Message":"A socket operation was attempted to an unreachable network",

If that’s like what you saw, then WSAENETUNREACH (10051) Network is unreachable. may explain it as something in the network reporting it couldn’t get to the server. Possibly your different connections take a different path to the server. You could run the tracert or traceroute command to see what route it’s taking.

You can also see if you’re getting additional Destination unreachable messages when you get that 10051:

C:\>netstat /s | find "Unreachable"
  Destination Unreachable   105612      709679
  Destination Unreachable   17678       23553

C:\>

Though it’s a rather advanced technique, Wireshark could give an even better view of packets and errors.

The “different internet connection” isn’t real clear, but I’m assuming it refers to a different site and network. Are there commonalities among the working network connections, and differences from those that failed?