My recollection is slightly different:
RAE (+ others) --> DRA
A&EAA --> T&EE --> DTEO
DRA + DTEO --> DERA
DERA + privatisation --> QQ + DSTL
I can't help still feel that it all worked better (as defined by independence, technical quality, and value for the taxpayer) as RAE & A&AEE, albeit that both did need a bit of reform, but maybe I'm turning into an old luddite.
G