Mostly yes, but it depends, Jim. I know that you know the following:
To make a canard plane work and NOT be unstable, you need to push the CG forward so that the canard is continually lifting a weight in normal flight . A Rutan is set up with this sort of loading -- sort of a tandem-winger rather than a "pure" canard. In the pure version, the canard would be strictly a stabilizing surface with little to no steady load. The very early canards were like that, and were pitch-unstable -- including the Wright Flyer.
A Rutan canard setup on a gyro would be a disaster, The steady-lifting canard would support some weight but, if/when it stalled, the nose would drop. This, in turn, would reduce the rotor disk AOA and worsen the loss of lift. In a teeter-hinged gyro, loss of rotor thrust equals loss of control power.
The Thunderbolters may be trying to counteract a nose-down tendency brought on by the down-sloping surfaces on their pod. But they'd be better off IMHO either downloading their H-stab or (better) re-shaping the pod so that its top and bottom surfaces have more nearly equal slopes.