Here's the deal: The reasonong behind case hardening is to harden the metal, not to make pretty colors. The colors are secondary. Think about the process. It's easier to forge "soft" steel or iron into a desired shape than it is to forge tool steel (hardenable by quenching). The soft steel or iron won't harden no matter how you quench or temper it, but it will harden on the outside by "case hardening".
On the other hand, let's say you've successfully forged a frizzen to shape out of tool steel. You want to file it and make it look good and get rid of all the black/scale from the forge. Well, I hope you didn't let it cool too fast because it'll be a bear to file. So, you didn't and now it's all filed pretty, but it's too soft. You stick it back in the forge and get it hot enough to quench, now it's full of hard scale again.
So forging the part out of softer material, then case hardening it is actually easier.
The colors peolple refer to are confusing in that when metal heats up in the forge, it goes from black to dull red to orange to yellow to white to sparks. These colors range from room temperature up to about 2100 degrees fnht. Tempering colors are totally different. To see tempering colors the metal must be polished. The colors go from light straw to dark straw to brown with purple spots to possum ear blue to dark blue to grey, and range from about 400 degrees to maybe 650 or 700. Grey is back to being pretty soft.
"Case" colors are different still and I have not messed around with the process enough to contribute anything of value to this discussion.