Thin wall with some absorber material, that's the design of the old BBC speakers. Today, Harbeth and a few others still have that design with great results. On the other end of the spectrum, you have companies like
Diapason that use solid wood to build their cabinet, also with surprisingly good results (I used to own a pair of Adamantes). Each of these cabinet design probably add some personality/coloration to the sound. But like many here already know, coloration/distortion can often sound quite pleasing.