I think I agree with this but I would add more to it to flesh out the relationship between feelings, Feeling as a rational way of knowing truth and moral values. Feeling and thinking are two semi-independent rational systems of cognition. Feeling takes "valuations" and relates them together into a coherent, rational whole. Valuations are "feelings" about the importance of things and this relates directly to being able to assess whether something will help us survive and thrive or will hinder us in that area. Feeling is shared with other species but with language, humans can create complex, rational feeling constructions out of which certain moral principles have emerged as fairly self-evident and universal. Feeling, in a perceptive individual, involves understanding individual perspectives as well as universal common values and modeling that in a way that allows one to predict and understand the behavior of those that express feelings and form valuations.
Science is highly valued. Its tediousness and lack of obvious fruit toward our more immediate survival goals is offset by the fact that persistence in its practice yields great survival advantage. Written language was, perhaps, one great technological advancement in human culture which has allowed science to flourish. Science is a cultural endeavor that weds thinking (the logical organization of words and their meaning into a comprehensive and coherence whole) with repeatable experience and predictive power. We would do well to remember that because many of us have come to highly value science based on our education having shown us many examples of how science has greatly improved our lives, we go on to form a basic trust in science and do not worry about personally validating the logical consistency of scientific ideas, but trust that the process will sort things out properly in the long run. Without this strong feeling assessment of science by the majority of people, science would not be able to exist.
We would also do well to remember that while science can create weapons of mass destruction it is our feeling, our compassion, that helps us to restrain any desire to use such weapons in favor of more tedious and seemingly not quickly beneficial acts of compassion, patience and trust/relationship building. Science can hand us a reliable gun, but feeling mainly keeps us from firing it unless necessary.
Values are all about our desire to live, to thrive, to help others, to act in a way that makes you a companion to your fellow feeler rather than an overlord or a cheat. Sometimes that means waiting for those who are slow to understand to come to an understanding. Sometimes that means having to suffer with the imperfectly developed ways in which others meet their instinctual needs for the sake of helping them to learn and grow and be better for themselves and others.
Imprecision is, perhaps, a bias of the thinking type of rationality. Since that type of rationality attempts to refine the definition of words, using words to do so, it has, as it were a sense of being precise. But a well developed feeler knows precisely how someone feels and how to reach them on a deep emotional level and help them to understand things in a way that pure logical thought cannot achieve. Feeling is about recognizing the "value" of each person, their story and their way of looking at how the world impacts them. That sort of knowledge is just as vital...in fact, the ability for us to judge the vitality or importance of something is due to feeling and NOT thinking rationality.
I recommend you look at the work of Antonio Damasio to understand more about how thinking (logic) and feeling (valuation) relate to one another and are, in fact, both important and necessary for normal human cognition as we understand it.
https://en.wikipedia.org/wiki/Antonio_Damasio
in the end you can't convince a person regarding a "better" choice without fundamentally appealing to their rational sense of feeling.