I will be possible(but most probably difficult)to deactive them but only if they are not all homozygous for those particular genes. You have to have at least one bird with a different(=red-free)allele(it applies to all those involved red genes).
When we have knowledge on how to distinguish the difference between sex-linked red, autosomale red and salmon red we can act to deactive them in the way you discribe Wieslaw but what about those red-pigment producing genes we do not know, so we can not determine them, how shall we know if they are Dominant/recessive, homozygous/heterozygous to can take action against them ?
Maybe we dramatize a little, maybe these "other" producing red-pigment genes are so exceptional that we hardly ever will encounter them in our private poultries !