Earlier quoted context omitted.
The Pimsleur Method inverts those phases and focuses on speaking and listening first. I've found it to be quite effective.
Hm, I'd say the Pimsleur method is quite good at teaching every-day language. Which is a worthwhile task, but the range of words is quite limited. I would suspect that in order to get up to HSK4 or even HSK5, just the audio portions of course, you'd need like double or triple the amount of lessons, which would be impractical. Of course, most people will start speakind and listening, in various forms, in phase 1 and 2…
I have passed HSK4.
I am not competent in Mandarin listening comprehension, or in speaking (to be fair, speaking isn't a part of the test). Those skills aren't necessary to pass. The audio samples for HSK4 are a lot more generous with you than actual speech is.