It doesn't sound as if that seller knows what he's talking about. While there are white hybrids often called tiger lilies in the trade, few, if any, have lancifolium blood. Remember L. lancifolium is triploid, and the diploid form is very rare.
And, 'White Henryi' (just one "i") has absolutely no lancifolium heritage.
Still, it might be interesting to see what those seeds will become. I think it's a good bet that they are hybrid, and each will be different.
Rick