I'd beg to differ that instead of roots, its the leaves.
Logic has roots, in a lot of things we find uncomfortable.
But a tree without leaves/flowers is missing something.
Just like Logic without empathy is missing something.
That's a good way of thinking of it too.
I would say that people over emphasize the importance of empathy. They do this because they have more empathy than reason and so over value it. I’ve worked to decrease my own empathy and my life is richer for it.
The analogy here is ambigious: are you saying logical reasoning that does not employ empathy is incomplete? Or that viewing the world solely with logic is an incomplete view of the world?
The second interpretation is fine, and there are undoubtedly many other facets necessary. Or maybe you meant something else entirely?