Exactly.
The best example of carpet bombing was the breakout from Normandy. Carpet bombing is intense, close, tight bombing in a limited area. Think of it as every bomber in the air dropping their bombs along a 20 mile road and not going off the pavement.
Dresden was not carpet bombs. Berlin was not carpet bombed.
As you can imagine the carpet bombing process takes a ton of resources and you are dropping bombs on a lot of ground that doesn’t need to be bombed.
We certainly did not carpet bomb Japan. We certainly fire bombed the bejezus out of them.
But, it took us a long time to get the bombers close enough to even fire bomb.
Now if we had retained control of the Philippines it would have been a different story. Which is why they moved quickly to gain control over every speck of land that was within bombing range of the home islands.
The Japanese were brutal and ruthless but they were not stupid.