EDM, I looked at the photo in DGJ you suggested. Although the pictures are not very clear, I used a glass to spot what I think you are talking about. Really, I could not find a rose in the photo. The flowers had many different petal counts like zenias, cornflowers, batchelor buttons,etc. , and all I see have pointed petals. I am not an expert, but none look like roses which I associate with non pointed petals. But, I see what you are talking about regarding bouquets, but your bouquet definition probably should include the flower type. If I am identifying the flowers on your Parker correctly, then it is several types of flowers and scroll, but not rose and scroll. Earlier in this post I did see a Parker engraved with flat end petals and scroll, but the four petal flower looked more like dogwood, a pretty flower in it's own right.
I think , too, that lots of auction catalogs use the "acanthus" description for scroll, but is seems that is just a "handy" word and not very correct.
