It's not ignoring anything, it's showing that 31 teams are going in a different direction than the Saints and have more potential cap space as a result.
For each team, it shows cap space, available space with restructures, and available space with max restructures.
There is zero bias to the chart, it is a breakdown of the numbers as they are. I don't know how it could be looked at any other way.
As for big checks, other teams are cutting them, they are just paying base salaries instead of restructuring bonuses (which are themselves paid out in installments).