You're broadly right but I think you're dead wrong about the CFO statement — I think "July revenue alone exceeded all of Q2" is an extremely normal thing to say when revenue is going up at an insane rate. For example, if it was not true that June revenue exceeded March-May revenue, the point would be to show how their revenue growth has accelerated.
"July revenue alone exceeded all of Q2" would be a very normal thing to say, but you're skipping over some of the words. Unless revenue is sharply dropping, annualized recurring revenue in any month will exceed the revenue incurred in any quarter, because it's an annualized figure.
I think the most likely explanation is that the CFO misspoke and intended to say something more like your quote, or perhaps she spoke correctly and was misquoted. But without audited financial statements, all we have is speculation, and there have definitely been times in the past when executives of major companies made intentionally misleading statements about their revenue. (In fact, this thread began with a question about why you can't just look at the numbers, and here the answer is that nobody has reported the actual revenue numbers this comparison is based on.)
If he meant that he would've said July revenue, not ARR. ARR means it's multiplied by twelve.