I am of the mind that in recreational buddy diving, no pony or redundant air supply is needed as the buddy system provides the redundancy. Exceptions to any generalization when getting specific of course always exists. An example could be photo divers, teamed up, but playing more with their cameras than paying attention to each other can and often do drift apart further than would make possible a practical air share quickly during an OOA emergency. In such case, a pony bottle might be wise or perhaps wiser to stay close(er) to your buddy team mate. Another example is group diving where divers are just together, all of them a potential buddy but none specifically assigned to each other, yes, it happens often. I can see a pony bottle useful.
But, if a diver, feels they want to carry a redundant supply, go ahead. Regardless, if you are a part of a buddy team, there is a responsibility inherent to your buddy and to the buddy system and chief among these responsibilities is providing a redundancy to each others air supply. Solo diving is a different world, the SDI Solo manuals provides guidance there and per it all solo diving should have a fully redundant air supply sufficient to the dive. Since this is not a solo topic thread, I will leave that as it is except that, sufficient is still applicable. If your going to carry a redundant supply, it needs to be sufficient to the purpose! Taking the ubiquitous aluminum 80 cf tank, it is reasonable to think that 1/3 of your air supply might be enough for an emergency. That would be 27.7 cf I think. That leaves a choice between a 19 and a 30 cf pony. For me 60 to 80 feet is the cutoff on deciding 19 vs 30. Availability also impacts the choice.
If desination diving, hauling pony bottles or setting up twinsets is not always easy to accomplish. Possible usually, but easy no. In such case, there is the buddy system properly executed. The buddy system works and IMO obviates the need for self redundancy.
If buddy diving, then buddy dive, in the fullest sense.
James