The question is about percent of kids hospitalized out of kids with cases, so your point is irrelevant.
A) I made two separate points.
B) Even in regard to DeSantis's claims, from what I've been reading (on left leaning sites) the CDC's numbers back him up. Though I'm weary to share, 'cause stats are easy to manipulate and twist to show what you want.
Another thing to remember is the "with covid" differentiation is actually significant among kids. The younger you go, the higher the percentage of people who are hospitalized for something unrelated to covid but test positive and are included in the hospitalization numbers. This is according to the CDC's report, not some right wing quackery.