Advantage of wider lens usage with given Ground sampling distance

Hello,

Is there any advantage at all flying a wider lens if you are restricted to a given GSD?

I have been toying with the idea of switching from a 35 to a 24mm but the fact that my GSD has to be the same I would just have to fly lower so what would be the advantage?

The only advantage I could think of is that with wider lens the shutter speed could theoretically be slightly slower before seeing blurr but I doubt it would actually make a huge difference, and then the distortion would be an added issue.

Would the side of images distortion of a 24mm be an advantage to detect 3D structure at all?

Anyway if you are thinking of something else please let me know, I would love to discuss this!

Thank you

I think a wider lens helps with the 3D reconstruction, but would appreciate critique:
My thinking, in short, is as follows:
Working at a specified GSD and with no flight height restrictions, the advantage of a wider lens (say 20mm as opposed to 35mm) is that vegetation, buildings and man-made objects will (overall) be captured more obliquely, thereby allowing better DTM construction?
The lower flight height also cuts out haze.

You can find how the focal length will affect the mapping here: https://www.pix4d.com/product/pix4dcapture. By wide angle, do you mean fish eye lens? Or just changing the focal length?