I'm not really a powerlifter because I don't compete, at least not yet, but hey, I've only been back training for 3 months lol, duh. Maybe in a year or 2.
I do pretty much train like a powerlifter though with maybe a little more assistance work than some pl'ers.
For me, I want to be YOKED, CUT and VERY strong. I want to look like I can bench +500lbs, squat +800lbs, and deadlift 700+ and actually be able to do it. That is my end goal and will require many years of hard work, but it'll come.
I put strength and size at about 50/50. They are both equally important to me so I train for both at all times sort of.