The wider context matters, yes. Certainly with the golf tweets, the meaning of the words used depended on the fact that there had been a prior incident that was being referenced. So the language was coded, and people in the know would understand what it was code for.
But the wider context for E's tweet was not E sending threats or nasty messages to AH, or there having been a homophobic attack E was involved in or supporting. The context was feeling persecuted and the idea that E was being subjected to something analogous to a kind of witch trial. So the wider context there matters too, yes, but it doesn't support the idea that this was a homophobic slur. If there was a code being deployed, it was a 'terf code', referencing witches, witch trials, and those who refuse to burn.
Even if there was a different context, the sentence itself was constructed in such a way as to mitigate against conveying a slur, because it could only really mean one thing. Same as it could only really mean one thing in my sentence "I had faggots and peas for my tea". Unless you're saying that ANY use of the word is homophobic in and of itself.
I wouldn't agree with that, either, but I can at least see that as a logical argument. Is that what people are saying? That it's a case of the word itself should never be used in any context to convey any meaning?