It will be much much shorter than that. Since the manufacturing process doesn't include aluminum and instead is made of plastic, it cuts down severely on the time needed to put these things together, as well as cost.
I would say put your money on no later than 1-2 months, and they will likely have double the orders on the way. The fact that they sold out without any real press or coverage on it is a very big deal. Once the embargo is lifted on Feb 7th, the interest in this console is gonna skyrocket through the roof. They will want to capitalize hard on this fact.