Disclosing your stutter makes the interaction more positive and relaxing for you. There's no reason why you shouldn't grasp that as a mode of self-care. How would anyone even be giving you special treatment? The external advantage of disclosure is to let the other person know what's happening, and to hopefully obtain their patience as a result. That's not really special treatment imo. You say as you get to know the person well enough, you stutter less. Logically, by that point, they will know you well enough to understand this is a variable condition and not a constant. As you get to know them, they get to know you. I don't think this is something you should fixate on too closely. Good on you for finding a way to make conversation work!