Okay, for any Tonex One users who have been dealing with this, I figured out the monitoring tone models in the app while using the pedal as an interface without using external interfaces.
1. The pedal definitely needs to be in stomp mode with the pedal disengaged. You can do this in the app or on the pedal directly, it makes no difference.
2. This will allow you to hear the model being used in the app while playing.
3. When you setup your present and move it back over to the pedal, engage the pedal and disengage the amp model in the app by clicking off the "amp power switch" shown in the app for the particular model you're using.
If you don't do this you'll be running two presets on top of each other and not accurately hearing what's going on in the pedal.
4. When you start the process, should you find your only hearing a direct unaffected signal from your pedal. Go to the audio settings in the app, switch off off the ASIO and then switch back. That should reset everything and have it working as intended.
IMO, IK Multimedia really needs to add this to their quick start guide that comes with the pedal. It's not the most intuitive and I would truly hope any future firmware updates work to smooth out this process.