Wilco, I was talking electrical conductvity only.
You are mentioning that because they are thin, they are not strong laterally, I believe that.
But the thickness has little to do with the resistance of the joint, it's the surface area. Over a long distance truly the thickness of the metal will have an effect, but your problem at a joint is not metal thickness, but the actual resistance at the joining surfaces.
So, I don't have these myself, but often a thinner piece of metal will have more ability to conform to a surface when clamped.
Now as to how well it works, and if it does not match the web of the rail, then I would agree, the chances for a better conducting joint are higher.
All of this is theory and speculation, as you end, the only true data is the physical test.
But analog vs digital makes no sense, it does NOT matter the power, it matters how you measure the voltage drop due to the resistance.
It is MUCH easier to use a static, non-changing, steady state load at the "far end" and measure voltage drop across the joint.
I use a box that provides a constant 8 amp load at 24 volts:
Those are 100 watt resistors I had laying around in a series-parallel configuration to get the right resistance.
A friend found 24 volt bulbs (used in boats) and made one himself a bit more cheaply:
With this nice static load, you can measure volts (usually millivolts) on each side of an individual joiner and quickly determine where the problem lies.
Greg