Peter,
I could not imagine NOT hunting with any bow that I would own. You originally mentioned Dale Dye bows. I have three and I would venture to guess that Dale never builds a bow that isn't intended to be out in the woods. Sure some are definitely easy on the eyes, but they are all shooters.
Of course, if I had one of Norm Johnson's Blacktail Snakebit bows, it might get displayed somewhere conspicuous so it could be eyeballed quite often, but I would no doubt give serious thought to flinging an arrow or three with it. At some point, it is a tool (albeit a fine looking tool) that needs to fulfill its intended purpose.
Shoot and hunt with those Dale Dyes.....you'll appreciate them even more.