The Golden Ratio is a mathematical ratio, represented by the Greek letter phi, found in art, architecture, and nature, and is thought to represent a classic, innate, harmony of measurement. Most plastic surgeons know this, and also know that most faces do not have the classic golden ratio measurements.
Some plastic surgeons are artistic, some are not; just as some have mathematics training and some do not. What we DO have in common is our rhinoplasty training, which is extensive and rigorous. Some will do many over their years of experience, and other may choose to do few because of preference, interest, type of practice, or other factors.
While your question is fascinating, actual golden ratio measurements are less important during rhinoplasty surgery than making proper surgical adjustments to the tissues each individual patient possesses, rather than trying to "fit" an anatomic cosmetic result into any mathematical ratio, even the highly desirable "golden" one! I believe the best artistic rhinoplasty surgeons have a natural sense of facial harmony and proper ratios between facial thirds, another ratio commonly discussed in plastic surgical discussions such as this. (And, BTW, most faces don't fit exactly into thirds either!)
Find a good, experienced ABPS-certified plastic surgeon or ABMS-member ENT or facial plastic surgeon and see how you like their rhinoplasty photographs. This would be much more "telling" than actual measurements fitting (or not) the golden ratio, just as certain art works or architectural examples are said to be based on the golden ratio, whereas actual measurements show they are "close, but not quite." What I assume you want are changes to your own nasal appearance that you find pleasing, not measurements that fit a predetermined ratio. Best wishes!