Those two data sheets make it difficult to compare like with like, as the power inductors have two rated currents (inductance and thermal), whereas the decoupling inductors have a single rated current, and a minimum Q.
In my designs, I have two different applications, both of which require things called inductors. They both require a certain current to be supported while maintaining a minimum inductance.
The first application is in a power supply filter network, where some degree of dissipation in the ferrite at high frequency is positively beneficial. It damps down resonances between components, and absorbs RF signals that I don't want crawling between one module and another. Even those inductors look a bit 'lively' for my tastes, and I usually end up using 'impeders', which have a specified loss at RF.
The second application is energy storage, in dc-dc converters for instance. Here, any power dissipation in the ferrite is a bad thing, it all contributes to overall inefficiency in a converter design.
You can't really optimise designs for either of these applications from a brief datasheet alone. You need a detailed data sheet, and then investigation on a bench with the appropriate test gear. Though using components from the manufacturer's suggested range is a good start.