The Dante ports on the Red Range are primarily designed for expansion purposes, rather than being the primary method of connecting to a system.
In order to control the parameters on a Red interface using RedNet Control, the device must be connected to a compatible computer over Thunderbolt.
In order to use a Red with a Pro Tools HD/HDX/HD Native system, the device must be connected to the system over DigiLink.
It is possible to route all of other inputs/outputs on a Red 4Pre/8Pre/8Line/16Line to the Dante inputs and outputs so that you can use it purely as a Dante device. Note that you will need to connect the Red to a computer over Thunderbolt in order to configure the routing with RedNet Control at least once. Once your routing has been set up the Red will retain those settings.