On the "normal", as in 1970s GM/Saginaw columns, here's what cancels the turn signals.
On the back circular extension of the "cancelling cam", which also has the horn contact ring on it, on that conical extension, there are two raised columns on the outside, reasonably close together. On the turn signal switch, there are two circular-wound springs, which index with the item the turn signal level screws into. There is a "L" spring and a "R" spring, they are mirror images of each other, color-coded, AND are not interchangeable, side to side. Or top to bottom, on the switch.
It's those springs which cancel the turn signal AND also make that "click" sound.
On a GM/Saginaw tilt column, it is possible to reassemble it with the upper section 180 degrees "out", so mark the sections where the pivot is (a white plastic "sphere"). Otherwise, the blind spline in the upper column, where the steering wheel mounts, will be on the bottom and the steering wheel will be upside down. It'll also make the signals not cancel correctly, when they are supposed to, rather than when they should.
On the other hand, do NOT presume that just because Chrysler used GMSaginaw as their steering column supplier that what's inside of them is "GM". It might be similar, but NOT exactly as Chrysler had their own specs they were built to. The tilt column on my '80 Newport looks just like what's in a similar Caprice, on the outside, but the guts are different. Nothing interchanges in the way of switches and such.
In my '66 Chrysler service manual, when I was reading it about 40 years ago, I recall that in the tilt-a-scope column, it mentioned that the actual switch was run by a Bowden cable, with the switch at the bottom of the column? I believe that the earlier GM/Saginaw columns were similar, using a cable to activate the turn signal switch?
I would suspect that although the particular parts might be customized for Chrysler, how they assemble would be similar to the GM columns?
You might be able to find a Buick or Cadillac service manual online somewhere? The "later" columns had all of the electrics just under the steering wheel, as a non-tile column did. The later ones are the ones I have more knowledge of.
CBODY67