You do both at the same time if you want the fastest results. You get structured i+1 input that you can cope with for part of your learning and then you dive deep into the the native content and let your brain compute the statistics necessary to eventually be able to recognize the patterns at natural speed.

My definition is of listening comprehension is any information I can glean from listening. Information being a reduction in uncertainty. Doesn't need to be complete. Progress is directional.

I know my language learning algorithm well and I pound it on repeat until my goal is achieved.