With regard to King Kong, While it might not be illegal to sit on top, if it couldn't grapple onto the base then as soon as the arms moved the center of gravity would shift and the entire thing would just fall off.
A ROBOT may not impede the placement of TETRAS on the loading structures or the hand-off of a TETRA by a HUMAN PLAYER to a ROBOT. No HUMAN PLAYER or field attendant may be accosted by a ROBOT while placing TETRAS. Violations will result immediate disabling of the offending ROBOT, and disqualification of the alliance.
I still don't see how bedsheet bot violates this rule 
This rule applies to the loading of tetras on the SIDE STATIONS. Any others you can come up with?