That is no problem, Paul. I was actually taking a guess/making an assumption. If the cleaner comes out freely and clean, it is all good.
Because you reported that the hunting happens at high speed, and the idle is fine (at least that was my interpretation), there is no point in assaulting the idle system with carb cleaner. As long as you are confident the main jet and emulsifier are really clean, it is time to put it back together and try it out.
The main jet and emulsifier on that carburetor are both made from plastic, so the use of carb cleaner on them should be kept to a minimum. However I have never been able to get hard gum out without using either cleaner or a jet drill. Since we don't know the sizes of the holes, we seem to be limited to carb cleaner in this case. I suggest you measure the main jet size, and the size of the tiny holes in the emulsifier, with jet drills, and report the sizes here. Put the drills in blunt-end first of course, so you don't make the holes bigger - it is only plastic you are dealing with.