If someone has an engineering or scientific background dealing with variation and experimental error and likes playing around, it could be fun to own one of these devices.
So I may have some relevant experience. My other sport is flying cross country in sailplanes, where drag is also important. I tried to measure the CdA of my glider by measuring the glide ratio, which is the airspeed over the sink rate (about 40:1 for my glider). I tried using the Dick Johnson method for gliders, which is kind of the equivalent of the RChung method for bicycles.
He used a calibrated airspeed indicator to fly a constant known airspeed and timed the altitude loss with a calibrated altimeter and stopwatch. The altimeter was mechanical, so he had to tap it or use a vibrator to compensate for internal friction. But the flight test has to be done on a day with very light winds aloft, in perfectly still air. That means getting the glider ready for an high aerotow at sunrise.
Dick Johnson had published over 100 of these flight test reports, plotting sink rate at different speeds and fitting a curve by hand. I tried reproducing this without much luck. So I borrowed a differential GPS from work. This gave altitude every second with a precision of a few cm after differential post-processing against a ground receiver.
I did this on days that were so still that I could feel that I had run into my own wake after doing a 360 degree turn. One morning, it was so calm that fog formed in the valley just after takeoff, and the towplane and I had to land in the adjacent valley to wait for it to burn off. What I found is that even in the calmest conditions possible, the GPS showed that there was still too much air movement to get a precise measurement of the glide ratio in a reasonable time. I could plot the altitude every second, but a few hundred seconds of data was still too variable to get a solid straight line fit.
So I suspect it's similar with bicycle testing outdoors. Obviously testing right around sunrise when the air is still would help. But any air movement is going to introduce a big enough error to cover up small changes in CdA.