Accessories are perhaps the most important part of a wardrobe, and to the extent possible should always be of the highest quality. For not only do they vary the look of a jacket from wearing to wearing, great neckties, squares and scarves improve the look of the tailored clothing they accompany. The opposite may be even more true.
Scarves in particular offer opportunities to add variety to one's dress without attracting the extra attention that may accompany neckerchiefs, ascots and silk squares. In the photo, a printed silk scarf with fringed ends disguises an open necked shirt worn sans necktie (on cooler days substitute merino or cashmere for the silk). A warmer chest is a fringe benefit.
Take care with your accessories.