The " self conforming" actually doesn't have anything to do with the hat but rather the leather sweat band on the inside. If it has wire in the brim I would be inclined to think it is a low quality hat, the wire helps the hat retain its shape. A higher quality will holds its shape much better. You can feel the difference in the felt between high quality and low quality.
In the sweat band is there anything printed like "2X" or "5X" etc.?
Hat makers use X's to display the quality of the hat. It has to do with the amount of rabbit fur blended with Beaver in the felt. (Beaver is not the only fur used, but the most common)The more X's the higher quality.(less rabbit, more beaver) But keep in mind that there is no industry standard. For example a 100X hat in one brand still may not be the quality of anothers 100X.
I DON'T LEAD 'EM AND FEED 'EM, I RIDE 'EM AND SLIDE 'EM.