When you're learning latin, it's usually not mainly about the practical application, anyway, and aesthetically it feels somehow so much more pleasing to use the “correct” pronunciation - to me at least.

Furthermore it can help to understand historic and linguistic relationships in unexpected ways:

For example the German word for emperor “Kaiser” looks very different to the Latin “Caesar” and the relationship between those words remains obscured by the way most Germans pronounce Caesar. But it was a revelation to me, when I learned that “c” and “ae”are actually pronounced the same way as the “k” and “ai” in the German “Kaiser”. We literally still call emperors Caesar in German!