And you're not aiming for some physical resonant frequency of the entire grid, just the controller on your local generator, getting it to ramp up and down chasing just behind your changing load.
I live in Ontario and in the past week the difference between our highest and lowest demand was ~4.5GW, but those changes take place over hours. If you can ramp up and down a 0.1GW load over minutes there is going to be a point where some control loop can't keep up. Generators have physical inertia but compute loads do not.
I agree that it's not trivial, not cheap, and not efficient but with the state of the world it would not be a surprise if some nation thought it would be useful to burn resources in order to disrupt an important event, maybe elections?
In any case, a 4.5gw load imbalance from moment to moment is not a difficult problem to solve. This is why all utilities are required to have 'spinning reserve' available to serve new load at very short notice. In the meantime the grid would just drop frequency very slightly (like 0.1 hz would be an enormous instantaneous deviation)