You have done a great job of putting your point across, and I agree with the most of your statements. Unfortunately though I think the word "lore" is useful and convenient. It shouldn't have been the focal point of the anger, which is righteous imo.
The point is that the word isnt convenient, its anti intellectual which robs people of being able to discuss topics in more specific and nuanced ways. It is too broad and has subsumed every word to describe narrative components.
If somone asks me "whats the lore" there are at least 5 different things they could mean. Which is inconvenient and useless because I have to ask clarifying questions. Just say "backstory" or "plot point" or even "information".
Whatever word you are using "lore" to replace you should use that word instead. "Lore" is just the current trendy word to say and I cant wait for it to die out.
That is a very prescriptivist way of looking at language. Words emerge and replace others, some fall out of favor, some meanings expand and subsume others, and some change totally. It might never leave the vocabulary of people, and its multiple meanings requiring clarifying questions is not a fault but a feature of it. Just a broad word for "backtory" or "plot point" or even "information". Communication does not have to happen via hyper-specific channels. Besides, if you don't want to ask clarifying questions following the usage of the word, just explain parts you are most passionate about.
I think you're blowing the role of "lore" out of proportion when it comes to media literacy and engagement. I think of lore as an umbrella term for things it includes. Like how words like art also contain multitudes of descriptives below them. Besides, the umbrella term is more than the sum of its parts. Asking "What are some arts you enjoy" is not the same as "what are some artistic expression methods you prefer." Lore for the most part refers to the sum of a variety of worldbuilding aspects. It itself carries little to do with your concern. Besides, if it is such a loathsome word for you, you can use it as a detection method for finding out who you don't want to engage with. You don't have to use it, but the presence of the word does not subtract from the detailed discussions of these subject.