I don't know about comparing power heads, and small skimmers not being able to suck minute nutrients, but skimming is all about air bubbles making contact with dissolved organics, and whether it's 2 reaction chambers or one, should not make a difference.
What about a skimmer that has 2 or 3 pumps as opposed to 1? Is that less efficient?
I don't see any logical reason this scenario would not work.
Below is a picture of my sumps. I have 2 drains on my tank, going into 2 socks, then through 2 skimmers, one on each drain. It works quite well.