Not intended to be a full rebuttal, but also speaking from experience: I've gotten a front-row seat to multiple dumpster fires where a well-intentioned teacher

Not intended to be a full rebuttal, but also speaking from experience: I've gotten a front-row seat to multiple dumpster fires where a well-intentioned teacher focuses all their energy on class discussions about mathematical beauty and cool applications, thinks that because they're so engaging they don't have to optimize instruction strategies and hold students accountable, and graduates students who are excited about math yet can't solve even the most basic kinds of problems that they were supposed to have learned in the class.