Prove it.
"Frogs eat many types of bugs. They do not rely only on mosquitoes."
"…adult frogs would simply hunt other insects. However, in some areas, tadpoles eat mosquito larvae. Losing this food might hurt some local frog numbers but it would be no big deal."
"Tadpoles are mostly herbivores. They eat algae, plankton, and decaying plant matter (detritus). As they grow, many species become omnivores. They will eat brine shrimp, aphids, fruit flies, and even other tadpoles if they get too crowded."
"…While most tadpoles are primarily herbivores or scavengers that eat algae and detritus, specific species—like the spadefoot toad and certain tree frogs—are known to consume mosquito larvae."
PROVE IT AND KILL ALL THE MOSQUITOES