From a color/pattern genetics view your post makes very little sense.
For the calculator to work or just from a breeder point of view to calculate an outcome you have to know what genes a bird carries.
If breeders are using different terms for the same patterns or if you know a bird by a term but don't know what it is genetically then it can't be expected to work.
You use the "blues" as an example but what are they genetically? From your post I'm not even sure if the color blue or which color blue is even involved.
You talk about them producing a "pyle colored" offspring.
What genetically is "pyle colored"?
To me pyle is dominate white on wild type (BBR)
You can not produce BBR with dominate white from two birds that don't show dominate white.
If pyle means BBR with splash then you can produce them from birds that carry blue or splash but you make no mention of blue breasted Red or the actual color blue in your out comes or parent stock.
In that example you mention "brown reds, BB Reds, Grays, Duck Wing Grays, maybe a Black chicken or two, a White, some Pumpkins and many other colors and shades" also being produced.
I can't see any two birds producing all of those.
And again you're using terms that don't explain to me the genetics of the birds.
What genetically do you mean by greys? Duckwing greys? Pumpkin? Whites, which white? Recessive or dominate?
You mention "pure" they may be pure for a line or strain but they sure don't sound pure for any color/patterns.
Calculating genetic outcomes isn't that complicated in itself if you know what genetics the birds are carrying.
The issue is there's so many genes possible that its over whelming as a whole. Its not that overwhelming when its broke down to one bird crossed with another bird because there's only so many genes one bird can carry.
You just can't cross two birds and get 18 dozen different outcomes.
You can only get a certain set of outcomes depending on the genes.
Know the genes and you'll know the expected possible outcomes.
If you don't know the genes you'll never know the possible outcomes.