This issue was tested using different profiles, different branches (tested on Profiling 1.66.140687, Dev 1.69.140714, and Stable 1.66.139586), after deleting Arma3Profile and after deleting the entire Arma 3 and Arma 3 - Other Profiles folders under Documents. Entries for the controllers still exist in Arma3Profile but are seemingly not used. Driver reinstalls, different USB ports, and different combinations of these controllers also produced no results. Included are screenshots, an rpt file, and the Arma3Profile in question.
Screenshot showing controller binds present: [[ http://images.akamai.steamusercontent.com/ugc/170413290324389579/10A16221F6900CACD9CE703FBE214E85B7CB6B5C/ | screen1 ]]
Screenshot showing no controllers detected: [[ http://images.akamai.steamusercontent.com/ugc/170413290324389722/29F630B44CF1DEAFB1D9109DD44C0667EDE9E1D0/ | screen2 ]]
Arma3Profile: {F52570}
rpt file: {F52571}