Can nostril Botox make the nose look smaller?

Since the nose is located in the center of the face, it seems that even slightly wide nostrils affect one's overall impression. When looking into ways to reduce the size of the nostrils, surgery is frequently mentioned, but I am not considering that option. I am wondering if a change is possible with a relatively simple procedure.

I looked it up and found that the principle behind nostril Botox is reducing the movement of the muscles around the nose. If so, is there a difference in effectiveness between cases where the nostrils appear wide when at rest and cases where they spread out when smiling or talking?

I am curious whether getting Botox for the nostrils actually makes the nose smaller, or if it only reduces the movement of the nostrils spreading apart.

When looking at before and after photos, the difference sometimes appears quite significant. I would like to know if I can actually expect that level of change.

I am also curious if the effectiveness of the procedure varies depending on the size of the nose or the shape of the nostrils. I would like to know if it is helpful for people with thick nostrils or a rounded tip, and if it is almost ineffective in cases where the nose appears wide due to skin or cartilage structure rather than muscle.

I am also concerned about the possibility of my facial expressions becoming unnatural after the procedure. I read that injecting Botox into the muscles around the nose can make smiling look awkward or affect the movement of the upper lip. Are these side effects common?

I am also curious about when the effects appear and how long they last. I understand that the effects of Botox don't occur immediately but rather change over time; is it similar for the nostrils? I would like to know how long the effects usually last and whether the nose returns to its original state once the effects wear off.

If I am getting nostril Botox for the first time, I am also curious about how the dosage and injection site are determined. Since even small differences around the nose can alter one's appearance, what is the best way to consult if I want a natural change rather than expecting a strong effect right from the start?