That really isn't the point. A prototype is usually easier to troubleshoot and modify. PCB geometry and features can easily hide mistakes that would be much more obvious on proto.
Sometimes you have no choice, for example if the signal frequencies are very high, so the leads have to be very short and well shielded and/or counterpoised by a ground plane.
Also, your style of schematic is almost useless for reading, nothing but net nodes coming out of every component. A useful schematic connects the lines so you can see visually where everything is connected. It's possible you would have spotted some mistakes visually if you had done this.