The A Time of War/Companion SPAs work differently than the CO/ASC SPAs. Generally, AToW has requirements that the other versions do not, and new ones have been created since.
For Alpha Strike, ASC has most, but the Combat Manuals added some need ones not in ASC.
For BT/Total warfare, CO has all the ASC ones plus the Combat Manual ones. So as far as lists goes, it’s the most complete. Though the new Spotlight just added some more..