Here is some info you might want to consider:
Unwrapping is only done when you are going to replace the wire. It is highly not recommended to re-wrap a connection that has been unwrapped. A reconnection should be done with a new wire, or at least a freshly exposed section of wire.
Wire wrapping creates a gas-tight electrical connection with a longer lifespan than a flow-soldered connection, Exposed wire becomes brittle and the nicks from a previous wrapping makes the re-wrapped connection not gas-tight and not reliable over time. Properly done, the corners of the wrap pin dig into the wire, and there is where the gas-tight connection is formed. Over time the connection can actually get better. You cannot make a reliable connection unless the wire is specifically made for wrapping. As stated, it is not just a mechanical connection. Simple mechanical connections become unreliable over time, due to corrosion.
Now to wrapping and re-wrapping Pioneer connections. Wrap was a manufacturing expediency, reducing cost on connectors, and allowing for individual wire connections, distributed around boards, rather than gathering at connectors, which generally requires multi-layered boards for signal routing. The wires Pioneer used are generally standard wires with wrappable ends only. If you want to unwrap and re-wrap, you will need new wires, which are unobtainium. If you need to disconnect, leave the wraps in place and un-solder the pins, soldering them back in when ready. If you unwrap, when you re-wrap, apply solder to the wrap.
Again, and finally, I strongly advise against unwrapping connections, then re-wrapping the same wires back. Your results may be deceivingly functional, but only just, and not good for the long run. I know what I'm talking about. I made my living for years, creating prototype products, and building them with thousands of wire-wrap connections.
Here is an example of my work (the processing core for my midi-based stage lighting system):
Enjoy,
Rich P