Hmm okay. A rod floor is bouncier than a spring floor and has to be in a strip, not a square. It's probably not a rod floor.
Cheerleading uses carpet bonded foam rolls ("dead" mat, sort of like ultra fancy wrestling mats) or spring floors for club cheer programs. Usually the spring floors are covered with carpet bonded foam strips, whereas in gymnastics we usually have an additional carpet over that and because of that typically use non carpet bond foam layer (although more kits are coming with it). In my opinion it makes some difference vs the carpet bond even if all else is equal. Not a big difference but a little.
Most likely what is happening here is a difference in quality. The floor described likely has some foam blocks rather than all springs. Typically, a big gymnastics school will have the following: full spring deck with all springs attached under 3/8in Baltic birch wood, 2 in foam, relatively plush carpet.
You could also get, and in my experience cheer only schools may have this because it's easier to get away with when you don't have kids doing double backs, a partially spring deck that also has some foam blocks (harder foam than pit foam) attached to lower quality wood in order to save money, and also 1 inch foam with no carpet over it. These things would make the floor less expensive, but would also make it lower quality. Foam blocks are more likely to break and create spots in the floor that sink through, because of course a spring floor is sort of floating on its springs (or blocks). Boards can also break on a spring floor, particularly in certain areas, but a big gymnastics school will likely replace it quickly because their upper levels cannot do tumbling on that.
So basically what is happening is that the floor they are using is probably the same concept but just lower quality.