Thanks, JB. I think I may test my buckskin mare. She gets very sooty certain times of the year and I have always wondered but did not know who had the test.
To the OP, Sagnol and Freestyle at Dreamscape Farm are both homozygous for black, Freestyle is black and I believe Sagnol can produce black but neither will produce red. Landkonig is also homozygous for black, not sure about agouti but he is bay. I started a thread a few years ago asking for homozygous black stallions if you want to search for it. I got some very good responses. I did not care about agouti because the mare I was searching for was AA so the agouti status of the stallion would not make a difference in her case.
Good luck to your friend with whatever she decides.