I'm not sure we agree on this being fundamental. At least you can define it as a categorical difference (sure) but not really a practical difference.
I think the articles points were twofold: 1) Property rights, or more generally the legal & regulatory systems, trump any rules imposed or agreed in your system of payments 2) Most payments systems feature reversal processes for necessary reasons (but if they don't, see (1) as fallback position)
Both of these seem important to understand if you want to understand how a payment system works or could work in the future, and also to understand your exposure/risk in using them.
People mostly understand the trade offs and limitations of cash; mostly probably don't understand them well for lots of payment systems.