Just wanted to add some data points here, been lurking for awhile figured I'd add what I have to help others.
M3LR | MSM | Black interior | aero | No FSD | SLC, Utah (OD March 7th)
For pretty much the moment when I ordered and submitted my info I had an EDD of May 15th - June 12th. This didn't change for two months, until May 13th, when it changed to May 20th through June 3rd (two week window). On May 21, it changed to May 25th through June 4th (week and a half window) with no VIN. Got my VIN a day later on May 22nd (258xxx). I got a text to schedule a delivery yesterday (the 23rd) and I scheduled a delivery for the first available window, which is this Saturday. Got my insurance through Progressive, and my financing is through my own credit union, and all seems in order for me to pick up this Saturday.
I sent a text to Tesla asking about when the car was made, and they came back with an exact time, even down to the second. Apparently it was a little after 2am on Sunday morning. So my car was built this past Sunday morning, and the VIN was assigned later that afternoon. I thought that was interesting, they are probably working 24 hours a day at the factory to crank these cars out. I also asked about the chip, headlights, wipers, etc. They responded with "these are good questions, you'll be able to get that info at delivery". They were probably busy and didn't want to look all that up which is nota big deal, as I was just curious. I honestly didn't even know about the matrix headlights until a few weeks ago so it's not really a big deal to me. As long as the car is in new condition I don't foresee a problem with delivery.
I found it interesting I haven't seen many other people with 258xxx VINs yet so I am not sure how to compare. I'll do a follow up post after delivery to let everyone knows how it goes.