OK, within the last week I have cut up a watermelon, a casaba mellon, and a large acorn squash.
I prepare the melons by cutting about 3/4" off each end, then I stand the mellon on end and cut the rind off the entire mellon, then I cut the bare melon meat in half, (at this point I remove seeds from the casaba), I slice the halves into inch-thick disks, then I cut the melon into 1" cubes (I love seedless watermelon). For cutting off the ends and the rind I use a thin knife with about a 1" wide blade which easily slices through the rind and follows the contour of the melon easily. For slicing and cubing the melon I use a thin, stamped, 10" chefs knife. I don't see where a forged blade would have helped these large sized tasks.
I quartered the acorn squash length-wise using a thin stamped chefs knife. I started to use a hollow ground knife, but found the contour didn't work as well going through the tough squash. I switched to a full-tapered blade. Splitting the squash was made more difficult by its tendency to roll. I could have forced a thicker blade through the material, but I found a thinner blade to be safer. Having a larger handle on the knife also improved control when using heavier pressure.
So my question is, what squash preparation activity benefits from a forged blade? Also, what do you do with the bolster when you sharpen the blade?