Not Sure why these threads gain so much traction constantly, running is a relatively simple sport. I do agree with the OP's sentiments partially in that the more volume you do, the more bang you get from your workout bucks, you can run the workouts better and recover from them better so volume helps you with quality.
I personally just run in cycles. I start a cycle by building the volume as high as I can with low end aerobic work(basically just all very easy running and strides, very low intensity stuff with the goal just to get my body acquainted with higher mileage, when I feel like I've adapted to that, I start adding some moderate days with aerobic tempos, steady runs and progressions and I also add in 150's and 200's alternating between the track and hills bi-weekly.
Then about 6-8 weeks out from goal race(I mostly run the 5 and 10k), I'll cut my volume by about 20-25%, I'll have two higher intensity workouts a week, one focusing on over-distance endurance like threshold work(alternating broken up T work and continous threshold runs) and the other focusing on under-distance starting at mile pace and gradually building them up to 5k/10k pace.
Then after I go back to just focusing on base volume and base speed again. I do put a premium on getting volume in though here, I could be running 5k+ 3 minutes per mile most days in early base while increasing it. But that volume pays huge dividends when you've adapted and first, add moderate work and then later quality work. Quality and endurance aren't isolated from each other, the more endurance you have, the better you can run your quality work and the faster you can recover so one of my pet peeves on here is seeing people say "running slow makes you better at running slow". There's a time and place for everything, training is a continuum.