That "Cold shoe" on the Godox X2T is really a "hot Shoe". You can use it that way, but when I was converting from my old flash wireless system to Godox, I stacked the old flash transmitter on top of the X2T and used both my old lights as well as new Godox and Flashpoint lights at the same time. I did this until I could afford buying the additional lights and completely phasing out the old. The X2T is one of the great things that helped me switch to Godox/Flashpoint. Now completely switched, both studio and field, I am very happy with the transition and I'm not looking back. It was expensive, but my old lights and transmitter were becoming a maintenance problem. I'm glad they are gone. When using a wireless trigger, I have a handle that attaches to the tripod bolt under the camera and it has two cold shoes on it to use. Both ways work. Like you, I don't like things dangling from their wires.
Charley