Diabolos is not effected by -BP Timer equipment. Tested this in Qufim last night. With my gear, my BP timer should be 50 secs. It was 50 secs for all avatars except Diabolos. No matter what BP I did, my timer started at 60.
Not a major issue, but an issue none the less. The -BP timer gear is either expensive, or rare/ex and hard as hell to get.