I tried but I couldn't leave well enough alone. Curiosity got the better of me and patience lost out.
Instead of calling I tried chat this time. The first response was the canned (literally cut-and-paste) "we don't have an estimate... thank you for your patience..."
I pressed a little indicating that I knew orders placed just before mine had shipped.
Him: Okay I'm looking further into this for you.
Erik: Thank you, sir.
Him: Great News!!
Him: I see we have a shipment on its way from the manufacturer, and you are on it.
Him: We should be filling your order within the next week or so.
I read that as, basically, I'm in the second wave. Not too bad for being on the left coast and being a bit slow on the trigger...