The book uses the term suffer damage interchangeably between actual damage taken and initial damage before resistance. Example:
Slim, Rex, and Teak are all unlucky enough to be standing near a grenade when it goes off. The grenade is fragmentation, with a base Damage Code of 12P(f). Slim is standing 3 meters away when it detonates, so he is hit with a 9P(f) attack (DV 12 minus 1 per meter away). Rex stands 6 meters away and so suffers only 6P(f) damage. Teak happens to be 12 meters away from the blast point, so he is outside the grenade’s blast effect entirely.
That said, the text for Trauma Damper gives a good rundown of how it and Platelet Factories works together, which is extremely telling for how Platelet Factories are supposed to work to begin with.Trauma Damper is applied after soaking (it's applied when you're actually ticking off boxes on your monitor). Platelet Factories are applied after Trauma Damper. Therefore, it goes to reason Platelet Factories go after the soak roll as well.