I agree with your core message, that the issue is caused by bad notation. However I don’t really see why you consider implicit multiplication to be the sole reason. In my mind, a/bc is equally as ambiguous as a/b*c. The symbols are not important.

You don’t even consider this in your article, instead you seem to take the position that the operations are resolved from left to right. This idea probably comes from programming languages, as they commonly use this convention, but I haven’t seen this defined in mathematics anywhere. I’m open to being wrong here, so if you can show me such a definition from an authoritative source (maybe ISO) I’d be thankful.

As it stands, you basically claim “the original notation is ambiguous, but with explicit × the answer is obviously nine, because my two calculators agree”, even though you just discounted calculator proofs. By the way, both calculators explicitly define this left-to-right order in their documentation.

The ISO section 7.1.3 you quoted is very reasonable and succinct, and contradicts your claim that explicit multiplication sign removes ambiguity. There would be no need for this section if a left-to-right rule existed.

Have you tried casting banishment on merchants and stealing all their stuff before they return?

I remember using it only once to a great effect, it’s similar to your example with the gem. There was an item in the nest of big birds and we couldn’t deal with them, so we hid behind a corner and used a hand to throw the item towards another hand who was able to throw it to a safe spot.

Why not? If you don’t understand a meme it’s perfectly fine to ask for a context or explanation.