Ah!
(lightbulb goes on)
Throughout, I have been implicitly understanding "context" to mean context of evaluation.
Which is not what we mean at all, we mean context of utterance.
Which, indeed, you even said explicitly, and I failed to read carefully enough.

Yes, this makes perfect sense.

Thinking about this now, I think I endorse contextualism, even though attempting to implement it gives me a headache. That is, whether I'm comfortable saying that you actually know X is a function of what evidence for and against X I believe you're aware of, but my brain strongly tends to replace (my beliefs about) what evidence you're aware of with what evidence I'm aware of.

I no longer remember what my vote was.

Thanks for your patience.