Ordered mine on 4/23 - w/w Performance. No vin and no delivery date. I called and spoke to a rep for my area and he stated that because it was a custom order, it would be 4-8 weeks from order date. I asked why such a large discrepancy from the 2 weeks listed on the custom site. His reply was "I am sorry that it was not more accurate." I asked if he can see any status at all and he said the car was not in production yet. I guess I'll be hanging out in the waiting room for a while.
White/white does seem to be one of the least common builds, therefore taking longer. I believe there are some P3Ds in inventory, so if you get desperate you could look around and see if there’s a different color combo that’s worth skipping the wait for. Or you can find a sales person who will search the non-public inventory for a test drive car or whatever.
All that said, I’m sure they’ll want to deliver your car this quarter, so I’d be shocked if you didn’t get it in June at the latest. They’ve been building for the US lately, so hopefully not even that long.