After reading the thread the conclusion seemed to be that courts can not order you to lie, but may try to hold you in contempt of court for failing to update your canary.

If all actions but the one the government wants are ment with punishment then it is functionally equivalent to ordering/mandating/requiring a specific action.

If there is precedence for punishing all but the course of action desired by the government I would be interested. If there is legal precedence for ordering/mandating/requiring an action being different form punishing all but the desired action I would also be interested in knowing.