When two things touch, only a very tiny area of material makes contact - the rest of the surface is separated by a thin film of air / grease / tarnish. An electrical connection needs a minimum cross-section of copper-to-copper contact to carry the current, just like a cable needs a minimum cross section. When you clamp a terminal tightly, it squeezes out air and moisture and dirt as the metal cold-flows into position. Only once that has happened is the contact area large enough to carry the current involved here.
Oh - I had no idea about that at all. Thank you very much for your help.