1. The Unit You Are Billed For Is a Cycle, Not a Treatment
This is the fact that makes CoolSculpting quotes confusing, and it is simple once stated. You are not buying a treatment of your abdomen. You are buying a cycle, which is one applicator placed on one spot of the body for one cooling interval, and a body area almost always takes more than one placement.
The device is a contact cooling system. The FDA clearance describes it as applying controlled cooling to a treatment site, targeting a temperature down to minus 11 degrees Celsius. Each applicator covers the tissue it can draw in or sit against, and no applicator covers a whole abdomen.
So the arithmetic behind your quote is the rate per cycle multiplied by the number of cycles your plan calls for. Practices structure this differently, some quoting per cycle, some per applicator, some as a flat area package that quietly contains a fixed cycle count. All three are describing the same underlying unit.
That is also why a headline figure is close to meaningless here. A quote of one cycle on a flank and a quote of eight cycles across an abdomen and both flanks are not competing offers. Get the cycle count in writing before you compare anything.