To be honest, I don’t know what indirect vs. direct transport really means. BUT, I may be able to help, as I know what direct active transport vs. secondary active transport is. Basically, your text is very fuzzy in what it says. It’s true that direct active transport and indirect active transport can be differentiated by their requirement for metabolic energy, BUT that doesn’t imply that direct uses ATP AND that indirect doesn’t. In direct and indirect transport, ATP is used in BOTH cases, as you say (and you seem to say so in a frustrated tone, so rest assured, you are CORRECT!). The distinction lies not in what kind of energy is used, but in HOW the same type of energy is used. In direct active transport, the energy obtained by the oxidation of ATP directly is used to acquire or to expel a molecule. In secondary (and, I hope, indirect) active transport, (AND THIS IS WHERE I MAY BE INCORRECT, SO DOUBLE CHECK!!!!!!), the ATP is used to create an electrochemical gradient, and then the resulting, OTHER FORM OF ENERGY, the energy of the electrochemical gradient, is used to acquire or to expel a molecule.

In summary:
Direct->ATP used to acquire or to expel molecule directly
Secondary->ATP used to establish an electrochemical gradient that propels certain molecules through a pump; the resulting imbalance causes a homeostatic disturbance, and a restorative electrochemical gradient is established. The molecule uses not the electrochemical gradient established by the ATP but rather the restorative electrochemical gradient to enter or to exit the cell.

Hope this helps. I just don’t know if indirect=secondary.