Sorry but you are incorrect.
As I said BR had Pullman sets which were the ones with extra FO you refer to. All but 2 were gone by the time they started running to Edinburgh in 1991.
From 1991 onwards all the Mk 4 sets were standard rakes except the 2 used on the Yorkshire Pullman. The mallard refurb just changed how they formed.
For example, 2x RFM became FO, 21x TSO became FO, 30x FO became FOD and the remaining RFM became RSB.
Also while in Intercity livery, the end data panels have them as FO, TSO etc as do all the platform 5 books of the time.
Interesting approach you have.... First you tell me I am totally wrong, then you back-track and edit your post!
I've had a look at the number of vehicles of each type built and you cannot be right.
The original build was for 31x8-coach sets (+DVT). Vehicles ordered were:
32 x DVT
34 x RFM
32 x TSOE
31 x TSOD
64 x FO
90 x TSO
Ignoring the DVTs, RFMs, TSOEs and TSODs as there was one in each set, that means there needs to be 2 x FO and 3 x TSO per set, which requires 62 x FO and 93 x TSO. There were two Pullman sets for the Tees-Tyne and Yorkshire Pullmans which had two RFMs (hence the order for 34 RFMs). BR cannot have standardised the formations as there are not enough TSOs available to do so.
Subsequent to initial introduction BR ordered an extra 31 vehicles to make all sets 9-car (+DVT), which after a change in the order during construction, were delivered as 5 x FO and 26 x TSO.
To standardise the entire fleet as you say they did, they would need 4 TSOs and 2 FOs per set. Vehicles available were:
69 x FO - require 62
116 x TSO - require 124
So there must have been 6 or 7 sets formed 3xFO, RFM, TSOD, 3xTSO, TSOE. Even then there was no contingency as they had "over ordered" RFMs.
The straight mathematics of it say you are incorrect.