Is it OK to comment on and critique the message, though?

When you have multiple paragraphs in a quotation, each paragraph must start with a quote. Only the last paragraph in the quotation ends with a quote. Just pick up any book with dialogue in it and see for yourself. This is why I think your comment came across as you personally endorsing the official statement; it's not clear at first glance where the quote ends. The correct/incorrect placing of quotes is the kind of subtle thing that would lead someone to interpret one thing or the other without actually realizing what just happened.

And I was merely commenting on the likely veracity of the quote you posted. No shooting happening here.