As an engineer, my options for prototyping boards are quite expansive because I have money to spend and computer tools at my disposal. These choices range from old-school etching of PCBs; new-school CNC engraving of PCBs; cheap, slow boards from China; to expensive ($1000), fast boards from the US.
Doing this on paper with copper tape is a cool hack, I just don't see a lot of benefit over other options.