There fundamental idea behind threshold training is that the primary limiting factor in training is muscle recovery time. If muscle tone (damage) was not a thing, we would all be spending hours on the track doing race repeats with full aerobic recovery. That is not possible, because while your cardio system bounces back quickly (10-30 minutes), your muscles take hours or days to recover from a hard effort.
By training right on the edge of that steep blood lactate incline after LT2, one can minimize muscular damage and thus minimize necessary recovery time. This allows for significantly greater volume of aerobic stimulus. Double threshold is just one variant, but it is particularly effective because it groups all of that high-quality aerobic work into a single daily block with a REM sleep in between.
Importantly, this doesn't mean you should only do threshold. You can still do plenty of stuff faster than threshold - in fact it is ideal, because higher intensity work does still yield more benefits, as long as you recover properly. Once a week is enough time for your muscles to recover typically.
It's also a myth that threshold is a particular pace or "zone". The goal of threshold is to push the heart rate as high as possible (highest amount of cardiovascular stress) with as little muscle damage as possible. VO2max is the slowest pace that maxes out your heart rate, so ideally you would like to be fairly close to that. Unfortunately, blood lactate starts to rise quickly around this pace, so running at VO2max pace requires very short intervals with short rests (like the Ingebrigtsen 400s, where they run around 5k race pace with 30-60s rest). These are effective, but while your heart rate will peak near max, it will regularly be fluctuating down during the rest period. So something like 1k or 2k repeats at a slower pace (10k-half marathon) are typically preferred, because they will often result in a higher average heart rate throughout the workout (but a lower peak). Something like a continuous 30-40 minute tempo would theoretically have the highest average heart rate, due to having zero rest time, but it would peak far below max heart rate. It's an ongoing debate which matters more in threshold training, but the general consensus right now is that <=1 minute rest is ideal, and repeats of 1-10 minutes are also ideal. If you have found repeats in that zone to not work for you, you may want to try faster (30-45s intervals at 3k race pace?) or slower (continuous tempos) workouts for your threshold work, while also incorporating a faster day 1/week.