Is he the greatest Producer of all time?
Eno literally altered Production methods and changed multiple Bands/Artists sounds to become more sophisticated and adventurous.
Good picks, plus Steve Albini and Kevin Shields.
Eno is a brilliant producer though. One of the best. Tied or better than some of the artists on your list.
For a less popular pick, I think Phil Elverum is a great producer.
>he thinks U2 is dogshit but Coldplay is pretty good