I guess this is where it is best to use the Latin names for the lilies. The lily most refered to as a "tiger lily" is Lilium lancifolium (synonym L. tigrinum). This is the tall orange one with large dark spots and "stem bulbils" (little bulblets) growing in the leaf axils on the stem.
There are vendors who sell "red tiger lilies"; these are usually the cultivar Red Velvet. Some sell yellow tiger lilies and these are usually the cultivar Citronella. There is a yellow form of L. lancifolium known as L. lancifolium var. flaviforum (synonym of L. lancifolium).
Then there is "white tiger lily" sold by vendors, this is most often cultivar "Sweet Surrender". Vendors who sell these cultivars as "tiger lilies" are not what most of us consider lily specialists and they sell many other plants too.
Here in the Pacific Northwest Lilium columbianum is also called tiger lily. I bet there are other species lilies that are locally called tiger lilies. All very generic for the form of flower (rolled back petals with spots).
So you see, the term "tiger lily" is quite vague and perhaps best not to use it unless there is clarification. Better to use the Latin (for species lilies) or the true culitvar names.
I guess I didn't read that part of McRae very close. I have never heard of L. henryi referred to as a tiger lily. But perhaps at one time it was.
