The engineering math curriculum has issues, yes, I agree. I thought a lot of topics were taught in the wrong order and their usefulness was often not made clear until much later. At this point, though, I think I've used techniques from pretty much every class (even ones I thought were irrelevant when I took them) I took.

But really, the engineering math curriculum has (or at least should have) three purposes. The first is to teach you logical reasoning and problem solving -- critical skills. The next is to provide you with a toolbox of techniques you can call upon to solve common problems in your field. Finally, the curriculum should provide you with the mathematical maturity to acquire the new mathematical tools that you need.

The last point directly relates to your second paragraph. I don't know very much about data analytics. If I (somehow) got hired into a big data role, the senior engineers will lack both the time and the desire to sit me down and give me the background on statistics, machine learning, etc. that I would need. However, because I have spent a lot of time studying other mathematical topics and have a background in linear algebra, probability, etc., they can point me at good sources and I can learn myself. If I came in just knowing single variable calculus from high school I would have a rough time.