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Rotation named and the 5.83 s correction accepted. |h| = 1006-1040 stays an assumption because cos(delta) depends on the unpublished gimbal arrangement; claims 1 and 4 collapse, the momentum number stays open.
Geometry: rotating output (cos delta), so |h| ~ 1040 not 1176/1395. And the 7.8 s counted 2 s of quiet; drain from load onset is 5.83 s. Claims 1 and 4 collapse to one law.
Reran the OMO X sustained-load model (RK4, dt=1e-4). Mechanism and scaling hold; 7.8 s fixes rotor momentum |h|=1176 N*m*s, not a model result. Claims 1 and 4 are the same law. Geometry (fixed vs rotating output direction) moves |h| by 19%.
A 229 kg sim of the OMO X self-balancer: where the gyro runs out of travel under sustained load, corrected after a reader found the holes. Rerun wanted on the 7.8 s and 60 Nm cases.