How exactly are they breeding snow white alligator gars together to increase the outcome of snow white if they don't raise them to maturity? Unless they are catching snow white gator gars in the wild at full maturity (doubtful). If in 15 years you haven't seen a gator gar bigger then 42" you haven't seen enough gator gars
Perhaps I should have specified for the initial broodstock they are unlikely to raise those fish from babies. Why do this when you can secure adults and start seeing a return on your investment within a season or two. As opposed to a decade down the road.
As interesting anomalies show up, like platinum fish, they can very well be used in subsequent generations to try and selectively breed for certain characteristics.
Some oddball gars do make it to adulthood in the wild. The golden Floridas that show up in the trade are all wildcaught from what I remember. Though there were some "golden" gars bred in asia that have popped up for sale in the past, the colour apparently didn't stay into adulthood.
Aside from that, golden shortnose as well as platinum longnose have also turned up. I believe I also saw a video of a large platinum gator on a bowfishing site at one time.
Edit: I should probably specify that I'm not saying this is where the platinum genes are coming from, wild adult platinum/golden fish. More to refute your statement about catching them in the wild.
Captive rearing tends to also bring about these colour anomalies easier as you are working with a reduced genepool. So possible recessive traits are more likely to appear as the same genes will end up being found in a larger part of the population. This can sort of be seen in how the Mexico tropical gar farms are able to produce platinums as well as what I saw last labelled as a "sunburst" colour form.