It is, of course, possible to agree with a conclusion while disagreeing with the reasoning behind it. I completely disagree with a couple of statements here. Again, this is probably because as a math major (and as a short-lived doctoral student in an engineering department that was heavy on proof based math theory around optimization and stochastic processes), I've experienced "math" very differently from most people, including engineering or science students who have done a substantial amount of math (say, the calculus sequence through differential equations).
Math (I'm talking about the US based university approach) changes dramatically once you get to "upper division" coursework. Real Analysis is very, very different from the differential equations course that is about one-fifth math majors and four fifths engineering or hard science majors. There's very little "applying an equation" going on. And the notion that there is "one answer" is remarkably incorrect (I suppose it's correct if you define "TRUE" as the one correct answer to fermat's last theorem, but there are often so many different correct ways to go about a proof).
I remember a story about Graham Nash (the Nash equilibrium guy - this is all from memory based on his biography, so I may have some of the details wrong). Nash proved a very difficult and elusive theorem early in his career. It was later discovered that a different mathematician had completed a proof for the same theorem a short time earlier (I think it was a few months). Nash was apparently very depressed by this. However, he shouldn't have been - the other proof was by contradiction, whereas Nash's proof was more direct and contained the structure for an algorithm, and would probably be more influential.
This isn't at all unusual in math. There are a huge number of different angles on a problem.
Part of the problem here is what is meant by "math"... it is a shame that someone could get as far as second year university math in the US and still see it as a field where you simplify things to the point where you can apply a formula to arrive at the one right answer. In Ross Hunter's defense, he didn't say that's all that math is, he said "People who are good at math are good at breaking problems down into parts, recognizing patterns, and applying known formulae to those parts to arrive at the one right answer."
But you know, people who are good at math do far, far more than that. I know, because oh my god math got harder after the standard "calc through diff eq" sequence.