those boards are unsupportable. sorry. I would not accept that mess of wires on my project.
They were development boards. And yes, they were quite easy to work on, and modify.
Schematics were standard style, with IC numbers and a grid reference, so locating pins on specific ICs was not a problem.
To replace or move a wire, just locate the endpoints (easy), push aside any wires in the way (usually not necessary, since the wires are mostly routed in bundles away from pins), and pull wire off with fine-point pliers or tweezers while holding an iron on the joint.
The wiring technique involves having several inches of bare kynar wire at the end, loosely routing the intended wire to get the required length of insulation, using a slot wire-stripper to separate that length of insulation, then sliding it along the bared wire till near the end. To make the first joint onto a pin on the board, use fine tip pliers to make a small loop on the wire end, slip over pin, press tight, then solder. Then slide the insulation down till it's tight against the joint.
Route the wire across the board, avoiding burying pins and bearing signal cross talk, etc in mind. Place wire against end-point pin, use fine pliers to loop the bare wire tightly once around the pin. Solder. Cut off excess wire.
That the wires were looped on the terminus pins, meant it was easy to attach/detach multiple wires to single points, if necessary. Since the existing wires didn't pop off if the solder was remelted.
Also, since kynar doesn't melt at soldering temperatures, if you did happen to accidentally touch the iron tip to the wiring in-place, no harm done.
The result is very robust, and I NEVER had a single fault due to wires coming off, or bad joints.
Sometimes if I was going to be frequently handling a prototype made this way, I'd attach a protective panel of clear plastic sheet over the wiring. But usually not.
Incidentally, the board with the copper foil under the point to point wiring, was a complex analog system with a mix of analog and digital signals, up to around 20MHz. It worked perfectly. That cut-and-hack method of circuit prototyping is the best I know of.
reminds me of the old wire-wrap days. those were not good days, btw 
Yes, wire wrap was horriffic. Bulky, fragile, crap for high frequency signal quality.
This soldered point to point system was a reaction to my disgust with wire-wrap, and is _much_ more practical, reliable, easy to work on. Plus the signal quality is as good as the grounding system you choose.
Oh, incidentally, the 'pins' are the legs of IC sockets. If I knew I'd be working on a dev board for a long time I'd use machine pin sockets. But mostly just the cheaper standard sockets.
In those years (80s, 90s) I'd never do a PCB unless I already had fully prototyped the circuit, and usually even got most of any required software going. The result was that even for complex designs I could usually do PCbs that worked first time.