The answer to your question depends on what you mean by better. Having thin skin will allow the changes performed under the skin, meaning changes to your cartilage and bone, to be more readily visible. However, it will also show asymmetries and irregularities more easily. For someone with thin skin, almost any modification yields an obvious change.
Those with thick skin have the opposite. Subtle modifications may not show at all due to the thick overlying tissue. Even dramatic changes to the bone and cartilage may only yield a subtle result at times.
Of course all of this depends on the anatomy of the specific person's nose since skin is just one of many factors.
I recommend that you see a plastic surgeon for an evaluation so that you know what is and is not possible for you.