For another data point, I got the automated "Prepare for delivery" email Thursday night (8/2), then an email and call from the IDA Friday (8/3) with a scheduled delivery of 8/8. She said I could have got it 8/7, but should probalby wait an extra day to make sure all the paperwork comes through Monday. I saw my VIN was assigned as early as 7/26 with the EncodedVin trick, and my edit button had disappeared a week or two before that, so it was at least a week from when they assigned a VIN to when I heard from anyone.
M3P, Red, black interior, 18", EAP, FSD