There is a lot of confusion and conflation in this thread.
There are two things going on here: the concave shape of the shoulder line, and the roping of the sleeve head. The two do not always go together.
The shoulder line you depict is concave and called a "pagoda" shoulder. It refers to the curvature of the shoulder's line between the collar and the seam between the sleeve and jacket body. It does not include the sleeve or sleeve head and is defined completely distinct from them.
"Roped shoulder" is commonly used to describe the mounded sleeve head in the picture. However, the term is a little confusing, as it it refers to the shaping of the sleeve head (the top of the sleeve, where it meets the jacket body) and has nothing to do with the shoulder line. Note, there is no actually roping in a roped shoulder. It just looks that way.
You do not need to combine a roped sleeve head with a pagoda shoulder line, though they are often paired.
Finally, though it has become common to use "Neapolitan" to describe a certain sort of shoulder treatment, that is also misleading. What is commonly commercialized as a "Neapolitan shoulder" is a sleeve head set into the shoulder seam as one would a shirt sleeve ("spalla camicia" means "shirt sleeve"). Why is that wrong? Because over the course of Neapolitan tailoring history, many different treatments of the sleeve head have been popular--including roped shoulders. Also, the terminology ignores the shape of the shoulder line. Common "Neapolitan" RTW brands like Kiton and Isaia sell jackets with very straight shoulder lines. There is nothing wrong with that, but today's Neapolitan bespoke tailors seem to either prefer a much more naturally rounded shoulder line (most common) or a pagoda-type shoulder (more rare).
There is nothing about roped, pagoda shoulders that is more English or Savile Row than Neapolitan. Unless, of course, you are relying on GQ-level tailoring terminology.
but teh n00bs may not realize
