I've seen these "power puddles" too, with professional designers doing them.
Well, professional in the meaning of "they're doing layouts all the time, but they aren't electronics or EMI experts". They just do the layout according to some instructions they get from some engineers.
Anyway, IMO this is kind of a religious thing, some believe it helps through capacitance and because any power plane is a good thing, other say its bad EMC wise, because the puddles might turn into antennas at some frequency.
My personal way would be: One big fat ground plane, no splits in the plane, in case there's room on other layers, extend the plane here. Capacitors do the power decoupling job, assuming they're placed and routed reasonably.
One can ignore DRC, or tell PCB designers to ignore DRC rules locally. Too narrow tracks for power at least look bad IMO.