Which is odd, as Lion and DP2 were built at the same time (along with Falcon), and had essentially the same prime movers as, respectively, the class 47, the class 50 and the class 52 - albeit with different transmissions, the Class 47 being in essence Lion's engine and Falcon's transmission, and the 52 being Falcons engines mated to Voith hydraulic transmissions (a three-axle version of those fitted to the NBL Class 41/43 Warships)
Which may seeem an odd choice, given the superior performance of the Class 42 (with Mekydro tranmsisions) over the Class 43, but Class 43's Achilles heel was the MAN engines, not the Voith transmission - Classes 35 and 42 had Mekydro transmisions, but a three axle version was apparently not available.
Two or three axles isn't down to the transmission. The output flanges of the transmission (either type) are on a projection of the housing that sticks down underneath, into the central well of the Warship bogie; then cardan shafts on either side take the drive from the transmission to the final drive gearboxes mounted on the axles.
On the Hymek there are longer cardan shafts leading from the transmission output to the bogies, where they connect to the rear final drive box, then a further shaft takes the drive from the other side of the rear box forward to the front one.
The Western bogie is derived from the Warship one and works on the same principle, but it is necessarily asymmetrical. The transmission output
sticks down in between the rear axle and the centre one is connected by a cardan to a distributor gearbox in between the centre and front axles, with further cardan shafts either side to the final drives on those two axles as in the Warship, then a fourth cardan connects the centre and
front rear final drives similarly to the Hymek.
The problem with the Mekydro transmission and the Westerns was that the appropriate model in terms of ratings was too big physically, and would have needed to be mounted tilted over at an angle in order for the resulting loco to have fitted within the loading gauge (this had in fact been done in Germany where they had encountered the same problem, but the smaller British loading gauge would have called for a steeper angle and the engineers were not happy about the possible effects on the oil circulation). So instead they designed it to use a Voith transmission then under development that would have been ideal; however Voith then changed their plans and didn't produce it, so the nearest model that was available was substituted, with the result that the Westerns ended up being overgeared in top.
[Edit: correction to Western bogie layout]