I'd agree. I've been experimenting with CT's whole approach and I like it a lot. However, if you want to keep the 5/3/1 base, I'd just do this. Light, quick activation circuits at the beginning of my workout (not a whole neural charge workout, just a couple exercises) + some explosive low rep overhead pressing alternated with light face pulls/rear delts have helped a lot.
something like this:
activation: explosive push-up, explosive fat man rows 3 circuits of 5 reps on each exercise. Maybe throw kb swings or db snatch in there for 3 reps each
OH press---pretend a 3 RM (true heavy triple) of 120 lb dbs (240 total lbs) for seated db press....
40 x 5
50 x 5
60 x 3
70 x 3
80 x 3
alternated light sets of face-pulls or rear delt flyes in between those sets.
then go to your bench. Start at 160 lbs.
that's some really light overhead presses, and they're all low rep. your top set is only, what, 66% of your max triple? Easy and not draining. great warm-up.
I did something almost identical when playing around, except for weight, and it works fantastically.