Not the case as it stands, anyone for any reason can refuse to be picked up. it is not against the rules to refuse, for any reason.
This system is written this way deliberately.
We give people a certain amount of authority over their player character.
Nobody can take specific clothing pieces off you (bar mask)
Nobody can Remove items from your inventory (bar police)
Nobody can force you to play animations (you have to agree)
This extends to our carry script, No one can force you to be picked up (bar firefighters) it doesn't matter what state you are in.
all this is done in an attempt to limit abuse, Sure we have ways around picking people up i.e putting them in a car but new players won't know that and it still restricts what can happen to your player character