Can Liquid Nitrogen Put Out An On-Fire Swimming Pool?

Diethyl ether is really flammable and it floats on water, so The Backyard Scientist set out to determine if said fire could lit in a swimming pool, and then be extinguished by liquid nitrogen.

Because liquid nitrogen also floats on top of water it creates an oxygen barrier that puts out the raging flames.

For a bonus experiment he also attempts the same feat but with dry ice instead of liquid nitrogen.

Granted, he also briefly sets his hand of fire in the process.