I don’t think there’s any practical difference between any of the connectors mentioned if they are all done correctly.
From a mechanical and electrical standpoint a soldered connection is always going to be superior.
But its a hassle to do.
Under most conditions a compression connections is your next best choice.
Its almost like a cold weld, cut one apart and you will see the copper wires stick together from the extreme pressure.
When you look at the connections inside electric motors these are always soldered, its a silver alloy but its still solder and the point is superior mechanical connection.
Tim and I discussed the old way of house wiring or running taps done in the nob and tube days...
The most common method then was to heat a solder pot and walk around the room and dip your connections....
I never did this but I have had to deal with this type of wiring...
Before the invention of Teck cable ( armoured water proof ) wiring in the mines was often open and done in the knob and tube style
I remember on 500 level at Stobie mine three phases were hung under the steel ground support and these ran the length of the main drift support by insulators.
The wire itself was rubber insulated tinned copper.
Where you needed power the trick was to do what was called a western union splice and weave the conduction together and pour hot solder over the joint to wick into the connection.
Where you needed a tap to wrapped the copper around the main the trunk and pour solder again.
something like this but on a larger scale.
The wiring was no energized and just hanging there but there were places where tech had been tapped off the main lines and fed into disconnect switches to feed minor loads, this was on 25 cycle lines so my assumption is these had been in service from 1914 to sometime before 1990 at the latest.
All perfectly serviceable however, just redundant..
There are all kinds of ways to join wires today that do not require this kind of screwing around.
More pictures of taps and splices...
Knowing how to join electrical wires together is essential for both building and repairing circuits. Not using the correct type of electrical joint can
civilengdis.com
here;s a fire pot.
Used gasoline or kerosene to melt the solder in that pot.
Now if you ever wondered why the code has rules about how long wires in pull boxes should be the main reason is this...
The electrician had to walk around not spilling hot solder and dip his rat tails ( pig tail what ever your vernacular may be ).
To this day we still need pig tail long enough reach out for connection.....
In fact the guy that invented the wire nut was burned doing this job!
if it was a big splice you would weave the wires together, put damp cloth on the insulation and then ladle hot solder over the joint.
Again trying not to burn yourself...
Or you have a big iron for smaller jobs.
This is an iron I saved when the mine closed
It’s made from a handle for a switch
