Plenum chamber burning was not a done deal, along with its trench digging capability, you need to produce/maintain a very precise thrust balance between the left and right chambers, there’s a bunch more things that have to happen within the system to maintain a safe flying condition, within the engine, all three combustion locations must not interfer with each other, a problem with one must be managed while maintaining a level of thrust and so on. Hence it’s a order of magnitude more cost/difficultly to enable supersonic and the end user concluded that supersonic wasn’t that important. Essentially Harrier key intended role was delivering a tactical bucket of instant sunshine after NATO had no more runways left;- high subsonic and low level was good enough.