I guess I'll have to accept that "a larger radius has a larger contact area" is how this problem is modeled for engineering purposes, but in the simplest terms, any radius will contact only at a point or a line and those by definition have no area.
Take for instance a circle and a line that is tangent to that circle, where they make contact will be a single point, it doesn't matter how big the radius is, until it reaches infinity, it will always be a single point. Make that circle into a cylinder and the line into a plane. Now where they make contact can be represented by a line which has a length, but no width, and therefore, no area. The only way to have a contact area is if the edge of the circle or cylinder deflects to make more contact with the line or the plane. Do you see what I mean?
In terms of the cam and lifter, the larger radius will be flatter so perhaps the oil film is less inclined to disperse and effectively creates what can be considered a larger surface area. This also makes sense with the knife analogy, the cam will be less likely to cut through the film.
Since y'all didn't want to make it too complex, I'll just drop it from here.
Lawrenceville, GA