I imagine that tracking individual SDA licenses, that are being issued with no delays, is near impossible for them to accomplish with the staff they have. One of my kids was pushing towards 90 days and sent a similar email. OSBI replied within a day or so, with a similar time frame promise. His showed up in the mail a couple days later. Maybe you will be lucky too.
They gave me the same response a few weeks ago, my permit was in the mail 3 days later. Im guessing the person who checks the status has nothing to do with when it is mailed, and 2-3 weeks gives them alot of room to be wrong.