After long and tedious reconsideration of this weighty question I am afraid I must offer my suggestions.
ISTM that the best side for BOTH women AND men to stand on should be, without question, their own bottom-side or soles of their feet. The alternatives, while possible, offer distinct disadvantages, to wit:
1) Standing on their "top- sides" or heads would be entirely too difficult to carry off (especially for some of the ladies and most of the men) in genteel fashion. Additionally, for the women, this alternative might prove too distracting for the men (see Loft post above).
2) Standing on BOTH sides is also to be discouraged as this entails, technically, standing on one's hands. As one can tell, this offers the identical drawbacks that Option 1) above does plus it prevents the mothers and Yiayias from rendering proper discipline to the children (or men) in corporal fashion.
3) Rumor has it that a certain 'competition' has begun among OC.neters involving alcoholic beverages. Advance warning should be given that "standing on one's backside" or in a semi-conscious, prone arrangement is not to be tolerated whether on winning or losing teams.
Thanks for your attention.