No, my goal in increasing loads isn't concerned with wanting to be a power or olympic lifter, but with providing my muscles with sufficient and ever increasing loads while following the HST regimen. It's a fine line. I don't want to suddenly start benching 300 lbs while having muscle sizes I currently have, which PL-style lower rep training would allow me to do (they make sure to keep below certain weight limits to stay within a weight category, so muscle/fat gains is a no-no for them), but I do want to gradually build up my muscles to hopefully reach that same 300 lbs x 5 bench.
Hope it makes sense.
Going back to alternating between exercises as suggested by Bryan in the example chart
here, this has consistently resulted in me not being able to build up strength even to my previous 10RM or 5RM maxes from when I wasn't alternating, no matter in what exercise (witnessed that in bench/dips and squats/leg press). Lower loads means lower stimulus, that's why I assume it's unwise from the standpoint of relative progression to keep alternating between them, or more generally, doing them at that "3 times per 2 weeks" frequency.