I've seen the resonance effect in person in a clock. It had dual gear trains and pendulums (one in front of the other), it's effectively two clocks, and only one of the trains had any power; yet the motion of the first pendulum was able to transfer to the second (un-powered) pendulum and both became synchronized over a relatively short amount of time, short enough that i could sit there and watch it happen. Normally with both pendulums powered, the two movements would be kept synchronized by each other at all times while running. Mechanical resonance is a real thing, i'm not sure why someone would not accept it (other than ignorance), it's effects are considered in most large scale construction projects because the effect can cause major failures in building structures if not managed properly, and the effects will theoretically work at the scale of a watch. It may just be very unnoticeable at the scale of a watch, even a pocket watch.
Personally, i think with a watch, especially a wrist watch; you would have to have the two oscillators extremely close to each other, practically touching, it would be best if the outer rim was free of any screws or recesses; the oscillators would have to be made of a material that has an extremely low coefficient of thermal expansion, obviously invulnerable to the effects of magnetism, and truing of the two oscillators would have to be almost perfect, at least to the point where you can't visually see any run-out during oscillation. The level of machining tolerance required would be higher than a normal watch, at least in this area.
This is a concept that i'm also planning to pursue in the near future as an experimental one-off pocket watch.
All in all, good luck to you Don, this is a very interesting phenomenon and will make for an interesting project worthy of investigation.