When I tried to do step 9 and disconnect these connectors, I found that not only the cable/connector but the receptacle tore off the logic board -- momentary panic! This happened to both connectors.
Left on the logic board were two tiny fragile gold pins (per connector). Fortunately they were pretty straight, and upon re-assembly, I was able to gently slot the receptacles back into the tiny pins. Upon reassembly, everything's working fine (no crazy fan noise) so I guess I got lucky...maybe VERY lucky. :)
Thanks iFixIt for a fantastic guide. I've got a replacement drive in there and it's definitely going to extend the life of my Mini for another season.