This is not done to evade the question, but rather offered perhaps in consolation. Such as when one is looking for the doctor, who is currently out of reach, and you say, "how about I give you a cup of coffee and a magazine (while you wait)."
The counter proposal does not address the question at all, but it is not done in trickery. I don't mean it as a non sequitur. It means something closer to "in lieu" of... I just forgot the phase or term that defines this situation.