Okay, that thread is all over the place with multiple programs and purposes. I see how you might be construing AM to have said that but you better pin him down on it specifically.
I don't see anywhere that he refers to 5x5 as low volume. It certainly doesn't have you lifting on a demanding schedule as far as frequency is concerned but there is no room left if you set the weight correctly. In the first phase the volume (weekly volume) is as high as one can generally handle under those conditions and therein lies the growth stimulus. The 3x3 phase is significantly lower volume and slightly higher intensity hence the deload.
**1**The first thing in my quote below is him talking about peaking in the context of "triples and eventually singles". This is not the standard 5x5. If you further deload and incorporate an additional period of higher intensity low volume you will further recover from the initial deficit of the volume phase as well as any accrued from the 3x3 phase and performance will rise as you tune the CNS and practice with maximal weights at the end. This is peaking for strength- not the basic 3x3 at the end of the 5x5.
**2**You may be asking about the 5x5 volume phase of the 5x5 program but I think in referencing peaking he's assuming you are talking about working into singles etc... and in refering to 5x5, he thinks you mean both phases of the workout.
**1**AM: 3) You'll only run this for about 4-6 weeks, and then we'll peak, which means we'll do a bit less frequency and go for triples and eventually singles.
**2**YOU: Also after reading JS post about the program, i get the idea that he means only to peak if you are interested in strength. If its hypertrophy your after, do you just keep pushing on the 5x5, and cycle the weight down and start over, when you cant complete the reps?
There are some references later that get convoluted but personally that thread gives some insight into your experience with this stuff because it is all over the place and you are throwing around all kinds of nuances and ideas in an effort to change the program (which is fine, when you have a good grasp of your own tolerances and how this stuff works and from your posts - that ain't you).
You should run it as written several times before changing anything. You can say what you want about hypertrophy but a muscle is meant to do work (Force X Distance) and it performs work by generating force (Mass X Acceleration). It will adaptively respond with hypertrophy to increases in total workload required within certain ranges. Low intensity and high volume work does not result in hypertrophy beyond basic fitness levels. Sooner or later one must change the mass (weight) one is working with - we'll leave acceleration out but don't underestimate the importance of that factor as clearly evidenced by the multiplication sign. Basically, if you want to grow, you have to get stronger and I believe the JS tribute thread makes specific references to the benefits of this for BBers in the different kinds of hypertrophy section if I remember right. Show me before and after pictures of anyone who has put 100lbs on his/her best 3x3 squat and I will show you additional muscle (caveates - athlete trains in rep ranges above triples/doubles/singles for at least part of their general training and caloric intake is not heavily restricted).
The problem with BBer is that they insist on customizing and tweaking things. Like anything in life, if you want to get better you have to be willing to spend a good portion of time on it over an extended period. You don't see that in a lot of the gym programs and instead you find an overreliance on anabolics to compensate. This prescedent affects their ability to work through a basic program - it's like Attention Deficit Disorder from Weider's Instinctive Training Principle running wild. From that thread, I believe you are a sufferer of this malady

. Run the tried and true program a few times. See how you respond. Learn about your limits and how to set the weights correctly. That will be a much better point to begin looking at changing things.