Generally I agree with you Ralph, although I am not sure how I feel about it with regards to the botanical distillations: gin, absinthe, aquavit, etc. One could argue that even if done from purchased NGS or other spirit, it is distillation really and not rectification, in the sense that the intent is to use the fractionation effect of distilling from/over/through the botanicals to extract essences and produce cuts that provide a target product flavor and aroma. The intent of rectification is purification by repeated distillation, predominantly, so the redistill for a vodka or something similar is certainly rectification. I think one way to define distilling separate from rectification is require that some raw (undistilled) material must contribute substantially to the final product as part of the process of distillation: this would encompass distilling from one's own ferment, from procured wine, beer, or pomace, from spirits with added botanicals or agricultural products, etc. The "craft", then, for any craft distiller, would be in how the processing of distilling extracts flavors and aromas from the added non-spirit materials into the final product.