The vast majority of people would be better served by a mathematics curriculum in which the end game was mastering statistics instead of calculus. Calculus is essential for hard science and engineering. Statistics is valuable for everyone.
There's something to be said for that. I've taken all mentioned, have a degree in math. I took one stat course at the U, Stat 101 or something, aced it. Yes, very useful and I wouldn't say it doesn't belong as #7 on the list. It was a long time ago, I don't recall a lot of stat. But some concepts have stuck.
I would say, though, that not understanding calculus if you have learned those others would be a shame. So much of our culture, our technical culture is made possible by calculus and not knowing calculus detracts from grasping what we have. Personally, I had no difficulty with calculus. I was in the honors math class as a freshman and it was all about getting a firm, rigorous theoretical understanding of calculus. Great course, and taught by my favorite math teacher of all time, Murray Protter, who later went on to become head of the department at UC Berkeley. Warm man with a sense of humor, but no clown. He brought himself to the classroom, not just the subject matter. One of a kind, I guess. I got 100% on the midterm!
I still have most all of my university level math books, but haven't seen that stat text.