Dburling, I think that would probably work and you would get some benefit from it. However, if it were I, I would just scoop the wine skins out of the fermenter with a large strainer, let the juice that runs free run back into the fermenter and package the skins with some juice left in them. I think after pressing, you would get some benefit but not as much. When I did these, I stripped them into a 6 gallon bucket, mashed them manually with a potato masher and scooped them out with a strainer. There is a bit of juice left in them but that should be good. Just my opinion.
What I was planning to do and what I may do next time just for comparison was to put the mashed and strained skins into a large stock pot and cook out most of the water and then package them. We were getting company for dinner and my Bride needed the kitchen.