Thanks Tico.
I got this working thanks to Daniel (who replied directly to me, which means it doesn't show here)
To make this available for anyone else wishing to do this, here are some screenshots of config and short explanations.
Create a virtual output using the Mixergy URL
Add the HTTP output to the virtual output and configure the command for ON.
You'll also need to login to the Mixergy website and get the headers for the login, which you then insert into the HTTP header for ON section.
You then use the Save HTTP Reply and store this as a local file on the Miniserver
These are the two headers I got which need to be used. You'll need to find your own details using Postman or Developer Tools in Chrome, which I've blanked out in this example.
Configure a Virtual Input within Loxone to pull in the locally save file using fsget within the URL field for the virtual input.
You'll need to setup a user within Loxone which has FTP and full access in order to be able to access this local file.
These are the 4 fields I've got working within from the API.
In theory you could use a Virtual Output configured with POST commands to control the Mixergy cylinder as well, but I've not explored that yet.
David