Different recovery protocols are present for different patients. On average patients may sit with a BBL pillow as early as 2 weeks. It is not advised to sit on the buttock directly without a BBL pillow for 4-8 weeks; meaning your recovery depends on the amount of fat removed from liposuction, the areas liposuctioned, and the amount of fat transferred to your buttock.
There is actually no literature to support that keeping pressure off of your buttocks leads to more fat survival. Even if you stay off of it, you will lose 30-50% of the fat volume injected over 3-6 months after the surgery. I ask my patients to keep pressure off for 10 days after the surgery as I feel it can affect the shape in the early post op period. I also recommend they choose soft surfaces for sitting while they heal as hard surfaces can be uncomfortable.