Why class centers, not single descriptors
A single descriptor over-specifies a synthetic identity to one pose-and-lighting configuration. Class centers - averaged across an identity's real images - capture identity separately from nuisance variation, which is what you want a generator to preserve.
What the lift came from
The 30% improvement wasn't from more data - it was from filling the demographic and pose tails that real data couldn't reach. Synthetic identities matter most where real coverage is thinnest.