It's about 3 weeks right now. Mostly limited by me trying to make sure each person onboarded gets a high touch experience from me since the product is still rough around the edges. If you need access to solve an urgent problem, email me at founder@usedouble.com and I can get you in right away if you don't mind the early unpolished nature of the product.
It sounds more like a series of short queues. So short, that Apple employees are sitting around twiddling their thumbs until the next queue gets long enough that they decide to start working.
If the app isn’t growing faster than infrastructure can be provisioned, these mini queues are just making people wait for no reason.