In a dictionary a word can have more than one meaning and context matters.

Precisely. Which is why you can make the case why the distinction is important to you, and why other people should care about and respect the more specific definition.

But you didn’t make that case until after my prodding. You initially took the position that there’s exactly one valid definition and the other person was factually wrong. That is not conducive to your goal of convincing people of your position, it doesn’t represent the community position (which I factually agree with!) well to outsiders, and it rubs me the wrong way simply because it’s inconsiderate and self-centered.

If you care about constructive discussion that others can meaningfully engage with and conveying your point properly, you need to be able to center other people’s perspective.

This is about rhetoric and interpersonal communication as much as it is about dictionary definitions.