ETFs are a different concept, but a good index fund will be structured as an ETF, and it looks like this thread is using "ETF" to mean "index fund"? If so, then the answer to your question is an unambiguous yes.
The stated investment goal isn't "buy the S&P", it's "match the price of the S&P".
Such an agreement would be reached incredibly quickly, there would be no need for stopgap measures.
From the article:
> Under the new structure, if any person or group acquires beneficial ownership of at least 15% of Twitter’s outstanding common stock without the board’s approval
For example in the case of SPY, that would go against their stated investment objective.
They also clearly state
> the Trust may fail to own certain Index Securities at any particular time, the Trust generally will be substantially invested in Index Securities
The poison pill just requires prior approval from the board, which they would happily grant in this kind of a case.