Long story short - EDD is a carrot that Tesla dangles in front of you to give you hope.
EDDs mean nothing - expect for your EDD to constantly shift.
Don't make any plans (loan application, sell your car, etc) until you have an actual delivery appointment scheduled - and even then, maybe wait to confirm that the car is actually at your pickup location.
People have had EDDs shift wildly my months. EDDs have shifted when you're far from them, close to entering it, and even while you're in it.
People have had EDD ranges of a couple days shift, so the width of the range means nothing.
People have had actually delivery appointments, after being assigned a VIN and pickup time, change with no notice.