Kelly I am not doubting your knowledge on this. I think where we are getting off on the wrong foot is in switching back and forth between modern uses of the terms and much older uses of the terms. And yes the terms should not change, but corporate marketing and products have forced them to.
Example 1: the process you are describing for BLO covers less than 5% of what is being sold under that name now. When people buy BLO today, most are getting the metallic driers variant which makes it not just pure linseed oil.
Example 2: polymerized or pre-polymerized Tung oil. As near as I can tell, there are only two companies selling that (Sutherland Welles? and Waterlox?). Neither of them refer to their product as 'pure Tung oil'. The only products on the market labelled as 'pure Tung oil' are not pre-polymerized.