Here's how I would describe what's happening. Someone please save me if I get it wrong
The melting we're concerned with is the kind that transforms solid or semi-solid fats to liquids. In the fully liquid state, individual triacylglyceride (TAG) molecules are the dominant form. We
don't want to heat to the point that we encourage the breakdown of the individual TAG molecules into glycerin and free fatty acids (or something else that makes the TAG or FA more prone to oxidation*). We
do want to heat to just the point at which crystalline structures that contain multiple TAGs are eliminated (or very rare?).
*actually, my understanding of what makes the TAG or FA molecules in PUFAs most susceptible to oxidation is weak. Is it just that a single bond is weaker than a double bond?
ETA: I found this description of the process,
here:
"During the process of oxidative rancidity, oxygen molecules interact with the structure of the oil and damage its natural structure in a way that can change its odour, its taste, and its safety for consumption.
Oxidation of fats, generally known as rancidity, is caused by a biochemical reaction between fats and oxygen. In this process the long-chain fatty acids are degraded and short-chain compounds are formed. One of the reaction products is butyric acid, which causes the typical rancid taste.
Rancidification is the decomposition of fats, oils and other lipids by hydrolysis or oxidation, or both. Hydrolysis will split fatty acid chains away from the glycerol backbone in glycerides. These free fatty acids can then undergo further auto-oxidation. Oxidation primarily occurs with unsaturated fats by a free radical-mediated process. These chemical processes can generate highly reactive molecules in rancid foods and oils, which are responsible for producing unpleasant and noxious odours and flavours."
If heat is one variable that might contribute to DOS with the more fragile oils and it's one I can control, it seems worth the effort to pay more attention to how I melt my fats. I just bought a heating pad that has a 110F setting and then another that is 135F. I'm curious to see if I can fully melt PO (visual confirmation) with gentle heat over a period of time that would normally test my patience.