ken, you are quite right, when you do the maths they are negligible. The FARs do address gyroscopic loads, and when you read the referenced sections they apply to maneuvers about the three axis.
§ 25.371 Gyroscopic loads.
The structure supporting any engine or auxiliary power unit must be designed for the loads including the gyroscopic loads arising from the conditions specified in §§25.331, 25.341(a), 25.349, 25.351, 25.473, 25.479, and 25.481, with the engine or auxiliary power unit at the maximum rpm appropriate to the condition. For the purposes of compliance with this section, the pitch maneuver in §25.331(c)(1) must be carried out until the positive limit maneuvering load factor (point A2in §25.333(b)) is reached.