Check out C.Thib's work as well. Lots of his stuff using the "double progression" and "layers" are a modern take on Hepburn's ideas.
Whatever name you call it, lifting heavy weights first, then lifting lighter weights after is great for technique and strength(in my opinion).
I totally agree with OSU, the "key" to this style of training is to draw it out, and make it last. Do a workout with weights challenging enough that you need to lift correctly, but light enough that you can get through the session and recover. Then do it again. And again. And again. It's not about rapid progression from one session to the next, you want to think in terms of progression over months. Make each workout higher quality than the last.
A scheme that worked for my press was like...
Work up to a heavy 5 reps, or around 85%. This will be your "heavy" weight for awhile.
-Back off with one or 2 sets of 3, around 10% lighter. This will be your "light" weight for awhile.
85% for 3 singles
75% for 3 triples
85% for 1,2,1
75% for 3 sets of 4.
85% for 3 doubles
75% 3x5 reps
The actual reps and progression are up to you, but the slower you go, the longer the method works.
After the heavy weights, the light weights just move "different." I find myself really accelerating the bar, squeezing tight, and moving deliberately. Every week the weights feel easier, so I just want to press them "better." I think of it like practicing with 85% until that weight becomes my new 75%.