Earlier quoted context omitted.
Listening comprehension, IMHO is the last skill to develop in learning a foreign language. The reason is that it's "all or nothing". You either know and recognize all of the words in a sentence, or you can't cope with the sentence at all. The first phase of language learning is mostly theory. Mostly vocabulary and grammar. The second phase is mostly reading, reinforcing the theory, forming a good understanding of how…
The Pimsleur Method inverts those phases and focuses on speaking and listening first. I've found it to be quite effective.
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. And that is actually necessary. But I think you won't be able to really grok "random" speech before having a good grasp at pretty much all the vocabulary you would encounter.