Knockout's evasion reduction is not as strong though, and it's way less convenient to use compared to a BST Pet's ~126 cooldown. On PUP you need:
1) to use a specific automaton (which tipically doesn't provide good damage, so you're taking a big drop in damage just to be able to use Knockout)
2) to use a specific set of maneuvers and to keep them up to force the automaton to use Knockout instead of other WSs
3) to make so your pet can hit the target, and then reach enough TP for it to use the WSs
4) Knockout's eva reduction lasts less than the BST one used to be (unless I'm mistaken? Not 100% sure on this)
All in all I don't think you can really compare 1:1 the PUP situation and the BST situation when it comes to evasion reduction debuffs.