The lift speed doesn't add *much* to the overall speed at the bottom of the drop but it does add initial velocity at the point when gravity takes over. It's not as simple as adding this initial velocity to the final velocity of the drop, but it does add speed.
The longer/heavier the train, the faster it will go when friction starts to try to slow it down. At the bottom of the first drop, this is so neglible it's not worth mentioning (lift speed has a greater effect by this point). Later on in the course, it does start to make a big difference.
Additionally, the longer the train, the lower the center of mass will be when the train disengages the lift. Because the train is presumably bowed downward, The CoM is actually quite a bit below the track and train when the it disengages. This means that the height for the mass of the train is calculated from a lower point than it would for a shorter train which would have a higher CoM at the top. Of course, this plays the other way at the bottom of the drop as well. The longer train bowing upwards has a higher CoM than a shorter train. The difference in height between the two is smaller for the long train.
This was one of my original thoughts on why B&M has shorter trains and the pre-drop. Both serve to get the most speed out of the same lift height.
I actually think it would be fascinating to see the curve the CoM of a train traces out on cosaters.
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