Decoupling caps not near IC pins - global decoupling
This is true IF the power and ground planes are tightly coupled. What do you get with two copper planes very close together but not touching? A capacitor. And yes, since the power/ground vias can drop right from the pins to the respective plane, the inductive loop is much smaller making that capacitance much more effective at higher frequencies where small capacitors have trouble.
You will however still need larger “bulk” capacitors (typically 10uF) around the ICs. These capacitors offset the resistance of the switching current path back to the power supply. They can already tolerate a bit more inductance as they target the lower switching frequency currents of the IC and don’t need to be right on the pins and can me optimized with lower priority than the signal trace fan-out from the IC.
Why isn’t this used more often?

It requires significant space on two PCB layers that cannot be split with a routing trace through them. Splitting the trace will result in loop currents again introducing inductance again and radiated emissions.
It requires two planes of the board around the IC. Not a problem if you have an expensive 8 or 12 layer PCB design. Go nuts :)
Many complex ICs require multiple power supplies. Each supply will require its own power/ground plane around the IC which eats up more valuable routing planes around the IC. Again, not an issue on designs with large number of PCB layers.
To keep costs down, the goal is often to reduce the number of layers in the PCB. If this can be done with optimized placement of decoupling capacitors, the cost will be less than introducing more layers into the board.

It all really comes down to trading off design time, complexity, and cost. The main point is that you need to evaluate your PCB power and ground along with your decoupling capacitors to effectively determine the impedance of the power distribution network. From there you can determine if it meets the requirements for the switching current frequencies of that particular IC.