That wasn’t the point that people were making. The point they were making is that removing fans doesn’t address the underlying mental health issues. If anything, arguing that everyone is ok now because fewer people are dying is the cavalier attitude because it overlooks the daily struggles that many will still be having.
Thus regardless of the points you’ve put excellently in your first paragraph, the students mental health issues do also need to be addressed too.
So I see your rebuttal as complimentary to the other points rather than fully dismissing them (ie it shouldn’t be “either/or” but rather “both things needs doing”).