Hi Tony -- those connections appear to be coming from a System service and not the w3wp worker process where the ScaleOut remote client libraries are initialized. This screenshot doesn't show the ScaleOut remote client libraries connecting to one another.
With that being said, the ScaleOut service runs as a System service. So, it's possible that the client application is running on machines where the ScaleOut service is also installed. This could explain the network communication between the API servers. As a distributed service, the ScaleOut service on each API server would communicate with other ScaleOut hosts.
You can confirm that the service is installed only on the expected machines by executing the command, "soss.exe query all" from one of the ScaleOut hosts. This command will display all of the IP addresses running ScaleOut hosts.
If only the appropriate servers are listed, you'll want to investigate the machines for services running as System and identify why they are connecting to the other API servers.