Stop using the appliance and report the relationship without deliberately reproducing it. A fault affected by cabinet movement may involve something being pressed, pulled or disturbed, and it needs assessment.
What the observation tells you
Do not jiggle cables, control tubing or connectors to make the motor run. Clear photographs of the accessible arrangement can show whether a door or stored item is close to a connection without touching it. Include any recent shelf or hinge work in the history.
A useful next step
Keep the disposer isolated if this can be done safely. Ask the engineer to consider the cabinet interaction as well as the appliance itself.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.