Great question: The technique really depends on the surgeon and what needs to be changed surgically. One is not better than the other, there are advantages and disadvantages. Essentially, if skeletal work needs to be done, a closed may be appropriate, if more refinement than an open. An expert surgeon can advise you for your nose.
The open versus closed technique is only the approach to get inside the nose, not the actual procedure itself. Suture techniques to the lower lateral cartilages and sometimes a conservative cartilage removal are necessary to obtain a refinement of the nasal tip