All the Vox amps that I've tried, which is most of them known to me, deliver a satisfactory Shadows sound. I have bought and sold the last half dozen or so offerings from Vox, simply because they haven't bettered the Vox AD VT30 that I bought over fifteen years ago.
However, the Katana is still great value and is so damn versatile, I love the head and small speaker option as well as the amazing echo and overdrive that sings like Gary Moore and Brian May, which is where it beats the Vox.