Will Nose Skin Sag After Removal of Nasal Implants?

Your nose skin should shrink down to its original size after implant removal. I assume that you wanted some degree of augmentation before the surgery, and that the current implant is too high for you. You should consider placing a smaller implant so that the whole process would result in an overall improvement of your nose, rather than simply going back to the original shape.
Weight gain and weight loss has no impact on the shape of your nose.

Your skin should come back down after removing the nasal implant. Sagging skin would be very unusual. Weight loss and gain do not affect the skin on the nose, as nasal skin shrinks very well. Good luck, /nsn.