I expect that Austin will take some time to ramp up Model Y SR production to a few thousand a week before they even consider expanding to other models.
Then, so they're not producing different versions of the same model, they'll start with the transition with Performance model at Austin, with all LR being made at Freemont.
Then they'll need to stop production at Freemont for a few days while they replace the machines to match Austin.
All this while trying to fill a glut of backorders.
So yeah... it will be a while.
You can always take delivery and then put another one on order in a few months.