spraying said burning oil.

Specifically aerosolizing it, not just splashing it around, for anyone who's unclear on what sort of "spray" is produced. It turns a big lump of burning oil where only some of it can get oxygen into a huge cloud of tiny oil particles that are each surrounded by oxygen, creating yet another additional explosion as suddenly a lot more of it is burning a whole lot faster.

Like it's not just a bad idea that makes the fire bigger, it's a catastrophically bad idea that turns the entire room its in into fire instantly.

Now technically there is an amount of water that can put out a small enough grease fire, but it's on the order of hundreds of gallons hitting it all at once so unless someone has a bathtub sized emergency reservoir on a quick release directly above their stove, they're not going to manage it with a glass or a pot or even a large bucket full of water. Especially since the actual solution is just "put a thing that won't be on fire over it and it will stop."