SwingsitlikeHogan
Major Champion
The Committee cannot permit placing the ball on the green as they may not modify a Local Rule.
LRs are additional to the main Rules. They may supplement them but do not override them (or I can't see any that do).
Being pedantic - a LR on PLs might not (in error most likely) state you can't place on a green - but in that case I am not sure of a relevant main rule to prohibit it.