That is verifiably not true. Vietnam and Korea made it very clear that you cannot win a war with air power alone. And precision weapons are effectively useless. The US can't sustain minor campaigns of shelling random cities in the Global South without running out of munitions. And short of nuclear weapons it has no capability to level cities with it's air force. The F-35 has, what, like four weapons pylons?
Add to that, the Russia air-defense systems have proven very effective, which changes the game. And the F-35 that is the lynchpin of NATO's air superiority strategy has a great deal of limitations, not the least of which is how expensive and stretched it's logistical requirements are.
NATO's air force is completely untested and reliant on extremely expensive, hard to maintain platforms with very limited tactical flexibility. It's entirely possible the F-35 fleet will defeat itself through attrition due to it's enormous maintenance requirements.