Dietary Fats Omega-6 and Omega-3: Impact Your Inflammation Gene MachineAlthough this isn't directly related to vitamin D3 there is a connection in that the best dietary sources of D3 are also good sources of omega 3 and it is reasonable to predict that omega 3 and vitamin D3 may work synergistally to produce improved anti inflammatory status.
It's also worth noting that point made here that Attention to the background diet is often a missing design element in supplementation studies, which is necessary to observe consistent changes in cellular fatty acid distribution.
When looking at vitamin D3 studies we have ultimately to consider the 25(OH)D status that was achieved and over what timescale the improved vitamin D status was maintained.
Given the variation in response to both oral intake and UVB exposure the only way to be sure of the 25(OH)D status is to measure it. Simply looking at oral intake or the amounts of D3 issued to people simply may not be reflected the the vitamin D3 status achieved.