A bit of clarification - AA generally hated warm low-contrast prints when it came to his own work. The notable exception was very large prints which didn't hold together well when printed cold and contrasty. Some of his most famous images were based on negs far more grainy and less sharp than what is typical today. If the original was on 8x10 film, anything bigger than a 20x24 inch print size could be dicey, with a few exceptions. Therefore, instead of printing them dramatic in his stereotypical style, he printed them soft, warmish, and poetic instead, and on matte paper. Viewers tend to back away from these to take it all in, since up close they're rather fuzzy.
Or rather, he mainly had them printed that way under his own supervision. Despite all the folklore, his own darkroom wasn't very well equipped for that kind of work compared to commercial labs. I once had a lot of opportunity to see the largest exhibition ever assembled of his bigger prints - well, more than see them; but that's a different story.
He seems to have experimented with different developers. But his standby was ordinary Dektol, supplemented by Selectol Soft, which can trend a little warm with certain papers. I've always been a little disappointed in the slightly greenish-black tinge Dektol lent to his images.
In later years, his primary paper was FB glossy Ilfobrom Galerie Graded. Nowadays, any oversized cold tone image is likely to be a "remastered" digitally sharpened commercial inkjet authorized by his Trust, offered for sale at a pittance compared to what a fuzzy vintage version would sell for.