CE often compromises one or the other. I can see it being ok with 3.5"+ bladed knives.
PE will do most things a SE knife will with cleaner cuts. It's also more aesthetically pleasing. If extremely sharp it doesn't have many downfalls.
SE is the king for real world cutting. Most people don't use it very well (sawing vs push or 45% draw cutting) but the edge life is still insane. It also can saw when very dull where PE just becomes worthless. Also, as RIOT said they don't slip on cutting which usually is a good thing.
People ALWAYS say that PE is the maintenance winner but it's perspective. You will spend twice as much time sharpening (more intervals) and will see more material loss because of it. SE still gets dang sharp with just a little practice and Spyderco will sharpen your knife for return postage.
I'm a fan of high carbon PE cutters but SE H1 is a thing of beauty. Really any SE. I have beat the living crap out of my SE AUS8 Dragonfly and it keeps cutting. I bet I've broken down 40 boxes.