Not sure I follow your ideas exactly.
The way the original horn button is designed is that there can be NO wires involved. If you have wires, they will get wound up when steering wheel is turned.
In the original design a wire comes up the column to a combination bearing and slip ring. A plunger button rides on the slip ring, It's a spring loaded contact. It turns with the steering wheel. The rest of the parts are designed to tilt and cause a disc to make contact between the column shaft, which is grounded to the chassis, and the wheel, which contacts the slip ring, which has a wire to the relay.
Hard to describe it all on here BUT.... the bottom line is you do have two choices:
1. Buy a new correct column so that you have turn signals and a horn, as I have suggested in your other posts.
2. Mount a normal horn button on the outside of column or on the dash.
You are wasting your time trying to put a button inside the wheel.