Forest fires tend to be a lot larger than swimming pools.
I think the main reason this method is not used to fight forest fires is the astronomical cost of generating and transporting a sufficient quantity of liquid nitrogen to effectively fight a large fire.
Nitrogen can be compressed, and even liquidified, solving the volume problem, and even in uncompressing the gas will cool the fire.
Also, the area would need to be cleared of personnel, who would otherwise be smothered too (along with most of the fauna).