I have always been sensitive and have found sensitivity is a double edged sword. The good aspects of being sensitive:
Be attuned to the needs of others, especially my children, spouse, and friends.
Being willing to try to understand and see something from another persons viewpoint.
Recognizing injustice and feeling compelled to do something about it.
There are others, but these are the big one. But the biggest draw back to being sensitive is reading too much into the responses, or perceived responses, of others, and in a negative context. I have a tendency to believe that other people find me deficient, a waste, "bad", etc., even when that is far from the truth. I am super hard on myself.
Now if I could be as sensitive with myself, as I am with others in a positive context, then I think that type of sensitivity is the best of all worlds. But even if I beat me up at time, I wouldn't trade being sensitive as it embraces some of my best qualities.
Just my .02