It can be recovered that way, but it can be troublesome. Depends on the nature of the solution, and what's dissolved with the copper. It has been done by others with reasonable success, but I never tried it in my operation.
Copper is electrolytically refined with a sulfuric/copper sulfate process. If the electrolyte gets too contaminated, impurities start plating out with the copper. That might not be an issue for you if all you want to do is recover the copper for sale as scrap. It is doubtful it would be of high quality, but no matter, it's better than using scrap steel for recovery if you want to capitalize on the value.
It would be helpful to have one of two things if you'd like to give it a go. One is thin copper that would be your starter sheet, or the other would be a slightly tapered titanium sheet that became your starter sheet. The copper could be stripped from the titanium and the sheet used continually. You could get by with a plastic bucket and a battery charger for experimenting. A titanium anode, or perhaps one made of stainless would probably work adequately.
Harold