Does Brunello Cucinelli Have the Answers to Luxury’s Problems?

SOLOMEO, Italy — On a muggy day in late August, Italy’s “king of cashmere,” Brunello Cucinelli, is mulling the state of the luxury industry.

Throughout the go-go years of the last decade, when exuberant double-digit growth rates were the norm for many major high-end brands, his “quiet luxury” label sold a different story to investors, framing ambitions to grow revenue by a steady 10 percent a year as a more sustainable, stable approach to doing business.

Now, amid a bruising luxury…