I have the same thing, ordered in NJ 9/11 got pushed back to August. I did not complete my payment method not sure if that’s is why, but I asked my SA if I should complete it since my delivery was not supposed to be until Feb and he said it doesn’t matter, but there is a good chance that it does matter. I contacted him today and he told me delivery dates can fluctuate in any direction and just wait patiently to at least 2022 where they will have more accurate delivery dates. He also said that the factory sets delivery dates automatically, that still doesn’t answer my question if they prioritize completed accounts over non completed.
Your completed pre-delivery tasks do 100% change your place in line for orders.
Once you order the car you are placed in a line. Once you complete your pre-delivery details you are placed in a prioritized line and the system flags your account as ready to accept delivery. This does exclude insurance information. That is only required once you get a VIN.
For instance if there is a batch of 5000 cars going into production with your configuration and there is 5500 orders for that configuration. Completed profiles will only be placed in that batch of cars to be built. The incomplete profiles get bumped to the next batch.