A nice question. We ourselves actually attach great importance to folding the umbrellas carefully again. They simply look particularly beautiful and also take up less space.
It requires a little patience of 4-5 minutes and once you've done it a few times it's actually quite easy. Take the umbrella at the natural folds/creases and use these to recreate the individual sections (basically rectangles). Then tie the umbrella together, making sure that the sections lay on top of each other.
Your umbrella will look like new again. Over and over again.