Set on top of the columns, I would do that without reservation. The columns are massive for safety factor and have big baseplates.
Where this could go wrong is when there are cross-cables that coordinate the lifting of the arms. That setup would get in the way.
If you were planning to use the arms that's a possibility also but I would remove the pad & pin and replace them with pins of the same diameter, then some kind of bolt underneath so it cannot separate. Switching between the pads and the lifting frame would take some thinking to plan out. A cart or pallet jack could help out.
One issue could arise with short headroom lifts which have the coordination cables underneath, at ground level, under a small housing. That would make it difficult to get the load to the ground on any kind of a pallet or rolling cart/pallet jack, etc.