[F.P. Journe Moderator]
On the Micro level you are right, of course
They can not be regulated to exactl same. Just close enough and then they will begin to synchronize and resonate. This does help timekeeping in that er evens out error and creates a more stable running.
To your other question about what is more accurate, the Resonance or the CO, Francois-Paul has answered this exact question one time. I’ve been twisting my brain to think where I saw it but I’ve forgotten it. It goes something like this but these are my words. In a static position the CO will be the more accurate, on the wrist the Resonance will perform better.
In the CO you create minimal friction and avoid the use of lubricants in the natural escapement. The remontoir d’egalite will feed the escapement every second with the same amount of energy from full wound to empty power. The flow of energy from the two spring barrels have been optimized. Constant force and minimal friction. In horological theory it should be perfect. This however is not protected to shock impacts caused by the wrist. Just as it isn’t in any other watch. Mini or Error will occur in the movements of the wrist.
The first Resonance is a Swiss lever escapement that you know from most watches. The balance is stabilized by the principal of resonance as described above. Error caused by movements of the wrist are evened out also like it was described above.
The new Resonance RQ is also a Swiss lever escapement but the power train benefits from 2 x 1 second remontoir feeding the escapements. Same principle as resonance but with a more constant flow of energy from start to finish.
So to your question about higher frequency, I think it is an other great Way to improve precision but that has other caveats. Just as the use of silicium parts in the escapement. Brands like Zenith, Grand Seiko to name a few have worked with this approach.
Here FPJ is very clear he is not interested in taking this route. He has an Artistic vision or philosophy is to use traditional materials in the movements and to take inspiration from the scientific watches of the 18th and 19th century such as marine chronometers and the works of antide Javier and AL Breguet. This is also the philosophy you see brought back to life I. The 20th century by George Daniels, Derek Pratt ect and his work with developing escapements.The traditional, historical route trying to achieve better Chronometric performance.