I remember my dreams quite well. Years ago, I did a dream journal to up that even further. At the time, I discussed doing so with a friend, and she expressed a similar sentiment to yours. In our discussion, she explained not wanting to "carry emotional baggage" from a dream into her day, being distracted by it, and so forth.
That phrasing of "carrying emotional baggage" stuck with me, because together we realized that people can relate to their dreams very differently. If she remembers a dream, she remembers the feelings and feels them all over again. I regard dreams as junk data, and can't imagine "feeling" anything about one longer than a few moments after I wake.