Screw Wall - Why would a unique solution make this puzzle more easy to solve?

Screw Wall is an assembly puzzle. The object is to screw the seven screws into the wall. Each screw fits into at least two holes, and each hole fits at least two screws. This makes the puzzle confusing to solve, as one would not easily know where to start, and a wrongly placed screw would only be detected after several more screws are placed. Each screw has only two threads at different angular spacing. Some of them are right-handed and some are left-handed.