What do you mean "technically it wouldn't"?
There is a bit of fuzziness in certain ways some things are on the label but if anything (even water) is added then something has to be on the label.
"...The statutes and regulations to enforce the statutes require certain information on labels of...
This is a good place to start. I recommend reading the studies it refers to in the poultry section. I read some of them but not all (I've also not fed amaranth other than what they might glean for themselves when let out).
Short version is amaranth has antinutrients that are disabled by heat...
No, it is not bad. Both amaranth seeds and amaranth greens are edible for chickens. Some studies have shown each has done as well as some more conventional ingredients in a feed mix.
Also, even the things that maybe shouldn't be eaten - like tomato leaves- might have only certain times that they shouldn't be or the variety might matter. Mine happily ate a really lot of volunteer tomato seedlings for a few weeks. Then stopped eating them.
Some chefs use them for flavor in...
Do you cook the mice?
Sorry. At least I'm trying to be sorry. I might have been able to resist if the "mice: yes" hadn't been the next line under "meat scaps: yes: avoid fat, only feed cooked scraps, and only in moderation"
All feeds in the table should be in moderation. Not just the ham...