Every one is giving complicated solutions that won't fix the underlying problem. Nothing about this drain is inherently flawed from drainage perspective. Will I clog maybe but most of it looks fine and free if clogs the issue with the pooling by the drive way is that the area in the blue circle is a low spot. What probably happened is that water flowing to that spot and then draining slowly and eventually pooling cause that portion of the drain/driveway/sidewalk to settle so it is a localized low spot. (either that or it was graded incorrectly initially) Finding a way to elevate that area relative to the surrounding area will fix your flow issues. You could also reslope the whole drain if that's easier.

People saying replace it with a French Drain don't actually know what a French Drain is or what they are talking about because this is technically a type of French Drain.