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Considering universality for all types of SAS, functionality of each stages and so on,
I propose the naming on the digital system below.
Type-A:
F0 - F1 - F2 - F3 - BF - PF - MAR - IM - TM
Type-B:
F0 - F1 - BF - IM - TM
Type-Bp:
F1 - BF - IM - TM

(* Recoil-mass chain is omitted because this is a naming of the "stages")
(* Sorry I'm not sure about the Type-C )
}}}

{{{
Type-A:
TF - SF1 - SF2 - SF3 - BF - ...
Type-B:
TF - SF1 - BF - IM - TM
Type-Bp:
SF - BF - IM - TM
}}}