If this was used for perennial vines, then swapping out center pots would work for plants that bloom better when root bound or do not need to be potted up into a larger pot, like Epis, because you would not have to remove them from their nursery pot. You just take the pot out of the bigger pot with the wire still attached to it and put it in a greenhouse or wherever you plan to overwinter the plant. But for annuals, probably not a good idea. Unless of course you were planting seeds instead of plants. The wires of the tomato cages are wide enough apart that you could probably get your hand inside to plant seeds or perhaps even a small starter plant. I just know it worked well for Epi plants and I didn't have to use wire cutters. I did however have to use a pair of needle nose pliers to bend the prongs up against the nursery pot. They are about 3 1/2 ft tall.
Here are a couple photos of what I use, though mine are not pots inside of pots because they are Epis. But they could very easily be placed inside a larger pot like what you are doing.
Close-up of prongs coming through the nursery pot holes and bent upward.
Photo showing several Epi plants growing on the tomato cages: