Initially, it's an interesting idea, but wikipedia states that the purpose of a skimmer is to remove molecules of waste and to do so, must inject air which creates the foam. I think there are other ways to achieve small bubbles. I don't know if the skimmer will work in hydroponics because molecule removal, like fertilizers, isn't what you want. The bubbles develop as a need to provide filtration. Protein skimmer - Wikipedia, the free encyclopedia
If you read through this thread from a couple years ago, the poster Charles Xavier seems to understand the subject well. https://www.thcfarmer.com/community/...skimmer.18442/
Hydro should use forced air without filtration. Thus the occassional need to dump and replenish. But this method works. Skimming may not work the way you'd like. But it's up to you.