I think you might want a clarification. I suggest nose exercises for my patients, but you need to be clear what that means. One, I agree that you should not manipulate the tip of your nose at all. That has been surgically corrected, and could be disrupted with aggressive rubbing.
Two, the portion of the bony nose, where the nose meets the face in the upper third of the nose, is where we usually do ;ateral osteotomies. That does have a tendency to drift out after the splint is removed a week post op, in those patients that have had the upper two thirds of the nose narrowed. So in order to counteract this movement, I have patients put pressure on the osteotomy sites early after the splint is removed, but only for three additional days. By ten days post op, that position becomes more fixed, so additional pressure after that is neither effective nor suggested.
Third, about a month after surgery I have patients gently massage the skin to stimulate lymphatic flow, effectively cutting down on swelling. The key is this is soft pressure, a point I demonstrate for them so they don't get carried away.
So are these types of activities considered exercises? Yes. But they are at specific times, are shown to the patient, and generally do not involve the tip.