Power comes in on one spade. The switch provides ground on the other. To test these set your DVOM to volts and connect one lead (black) to the battery ground. Touch the other lead (red) to one of the spades. With the key on press the horn button. Record your reading. Now connect the red lead to the other spade. Press the horn button again and record your reading. Turn the key off
One of your readings should have been very close to battery voltage. That is the positive spade. The other should have been under about one volt. That is the ground circuit through the switch.
If no readings were near battery voltage something is wrong with the supply (power) side. Fuse connections or wires. If you had a reading near battery voltage but the other did not go to near zero (under a volt) when you pressed the horn button the ground control side is at fault. Possibly a faulty switch, the actual ground connection, or the wiring.
Mike