I Agree, the Standard Typhoon H and Typhoon H Pro, are exactly the same aircraft, controller and camera as well as the flight controller software. Back in the day, the 'Pro' was the top level 'bundle as it came with an Extra Battery, RealSense, Wizard Wand and Backpack, while the standard (at that time) base model only came with one battery and no frills. Later they added a mid level bundle that included all the extras except RealSense and some would argue that it too was/is a Pro due to it having, the three antenna ST-16. Regardless, if your Typhoon is carrying a CG03+ - it is now best referred to as a Typhoon 480 or a standard Typhoon.
The Typhoon H Plus is a completely different model as it not only has a much better and more advanced camera, but also the flight control software is different. In fact, outside of appearances, very little of the standard Typhoon H series ( H, H Pro), remains in the Plus. They are not interchangeable in any way.