This is good advice. Psychologically the argument could be made that paying off lower-interest debts, so long as they can be paid off fully, has more mental benefit than partially clobbering a big debt.
Honestly most of my financial technique is based on how debt and savings make me feel with the caveat that I feel as if I have a strong core of common sense. I know that mathematically it's not the strongest return to pay off my mortgage as fast as I do, but in a few years, I won't have a mortgage to pay off. And that's going to make me feel infinitely richer.
Mathematically it probably is. Every cent you pay over minimum should go to principal, not interest, meaning that less interest can be charged. We pay a smidge over minimum pretty much every month. But then, we also got to abuse TARP funds and turn our 2-year-old 30-year into a 15-year with the same payment back in 2009 so there's that.