I find it odd that when you check the Tesla website, it shows Est Delivery for the new MS Plaid "August/September," while those of us who placed our orders in early February, they're mostly estimating delivery for August as well. They're not being truthful one way or the other.
They only update the website very periodically. My guess is, for the S/X it is a manual process. I wouldn't be shocked to see those delivery estimates for the S move to something like October/November in a week or two.