I asked (several times actually), but for whatever reason, did not get a straight answer to that question.
Also, for what it's worth (and I could be completely off base about this), but I suspect that I got scheduled for that day largely because I became a huge pain in the ass calling and emailing them over the past couple weeks. Who knows, I might have gotten in sooner if i hadn't accepted radio silence for so long.
After quite a few interactions with Tesla service over the past year, I'm left with the distinct impression that it's 'fly by the seat of your pants night' on the service side. I think the people are great and mean well, but the company doesn't seem to have consistent or mature customer service protocols, can't build the facilities big or quick enough, can't get parts ordered in a reasonable time-frame and just haven't ramped staffing to handle the influx of so many new owners every week. Growing pains of a fast growing startup I guess... I'll cut them some slack as an 'early adopter', but I think the model 3 ramp-up has the chance to sink this ship if they don't get things sorted in the next 18 months.