I come from this from a different angle. Not having any modern ecu controlled vehicles.
My
Youngest Diesel vehicle is 20 years old with 150,000 miles (My oldest has 300,000! all done by me!

)
(VW T3 300,000. VWT4 170,000 (My New one) Yota LC80 4.2TD 150,000 (Acquired at 140,000)
IME in all cases BP super gives...
Better cold starting! (Exception!-Cant comment on the LC80,
always starts first compression! Can
never hear starter motor, Just a sort of "Chew" noise and then she is running!)
Less smoke on cold starting! (Particularly noticeable on the T3, Non BP like
this!

On BP like warm! (Near enough!
very noticeable difference! (And yes, the neighbours hated me before I switched to BP since I always park my vehicles in the direction they are going to go next!

))
Less smoke when hoofed! (Particularly noticeable on the LC turbo! Smokes like the Bismark running away on normal diesel, only produces a mild haze on BP!

)
There is clearly a difference! Just wondering what tweaks I might be able to make to make the best advantage of it!
(It is also noticeable that the Shell equivalent premium diesel does NOT produce similar results!)