Yes! The case is beautiful! Thought I posted a reply, but must have forgotten!
Multicoated means each glass surface has several layers of coating on it, to optimize for several wavelengths. Often on a single coated lens, the single-coated layers of the different air/glass surfaces are optimized for different wavelengths. So each surface will reflect a different color. I had one J-3 that looked like it was coated for Infrared. The peak reflectance was green.