Rules of horticultural nomenclature, the naming system. Trees from seed are a genetic reassortment of the genes of both parents. Or in the case of a self pollinated tree, of the parent. Because the genes are rearranged, a seedling is guaranteed to be different than its parent. For a seedling from 'Seiryu' or 'Bloodgood' or any other named Japanese maple, the seedlings can only be labelled Japanese maple, they are not supposed to carry the name of the ''parent(s)'. The seedlings are unique, and if you think each is worthy of the effort, out can give each one a unique name. Like pedigreed dogs or cats, the pups or kittens each get unique names no matter how highly awarded the parent was.
And like dogs or cats, the offspring will carry at least some of the traits of the parents. Some might look fairly close to the parent.
So seedlings from a named Japanese maple, correctly can only be named Acer palmatum, if you do give individuals names, the name should be different than the parent or any other registered JM cultivar, and be written in single quotes. For example Acer palmatum 'Leo's number 2' If my #2 turned out really special, and I propagated it by cuttings, or grafting or tissue culture, methods that don't change the genetics, I could register the name and or trademark the name. For our purposes we would usually never bother to register a name.