Are Snow White tigers becoming extinct?

Many times the term "Snow White Tiger" refers to the Siberian or Amur, but the Bengal also is known for "White Tiger". Most White Tigers are a color variable of the tiger, not an albinio or a special subspecies. More a very unusal, or rare color phase of the coat. They have blue eyes, a pink nose. They can range from white to light yellow to reddish yellow, with stripes that are brown or black. But White Tigers in the wild are very rare and the captive population is 133 Bengal White tigers in the world, and 67 Siberian in captivity. Considering the size of the gene pool, and given past experiences of inbreeding. The outlook is not a good one. Maybe with new advances in genetics research, there will be something to help these remaining captive tigers. Of course, there are the rare sitings of the whites in the wild, in the last 100 years 12 have been seen in their natural habitat.