GR says that light always follow a straight line, but two light beams can be equidistant over some stretches but can intersect other places. But the problem is that Euclidian geometry is giving the wrong answer. And that's the point. In many, many, many cases it does. In many cases the applicability of a given form of mathematics and also its limits are extremely well understood.
Statistics gives insurance companies the right answer.
Calculus permits civil engineers to correctly calculate the stresses on bridges.