I think Berganza still had his name on the comics, but Cotton and Kaminski were the real editors. Kaminski also did a fantastic job at Archie and you can see some of the common threads.
The Rebirth era for me... well, I'm biased, because I found much of the New 52 unattractive and dropped it during Truth. Bringing back (any) old Superman was so unbelievably lucky to me that I didn't care how rarely I found an 8/10 issue. While Tomasi and Jurgens weren't the strongest writers, they were definitely two dudes who would step up for such a thing and I think it speaks to uncommon editorial to make those books work on that schedule. I hope it doesn't sound like I'm beating up Cunningham but simply, a new editor to line up with a brand new "superstar" writer had the sort of problems I'd expect from that premise. This era is like Kaminski's own Rebirth arc, lol