It's probably an unpopular opinion, but if public school chaplain positions are open to everyone, if they provide spiritual counsel to students who want it, without proselytizing or coercing students into religious activities, and if their work is controlled by the school to stay sure they don't contradict scientific teachings and respect the psychological development and freedom of children, they can be a good thing. Secular France has this kind of chaplains, and it's great; somehow I don't believe it's possible today in Florida.
And my point is that chaplaincy in general is not really relevant to the way they want to do it in Florida. What you're calling a chaplain is not what they are thinking of as a chaplain. It might sound similar, but they want someone to preach Christianity to children. All of them. That's the goal there. Sunday school in regular school all day every day.
This is not about France's idea of school chaplaincy because that's not in any way what this is or intends to be just because it used the word "chaplain" in the job description.