This function is interesting: when using the BB manually you need to hold down the pedal for a short while to allow a transition to kick in and to distinguish the action from the one used to kick off a fill, which is to simply tap and release the pedal quickly. But I am guessing that the midi commands work differently in that you can send a 113 1 and then a 113 0 in quick succession and it will kick off the transition fill (if there is one) followed by the transition itself at the end of the measure. The other interesting thing is that with midi you can time the first 113 to be exactly where you want it and this gives you some control over the amount of fill you get because (hopefully) the BB will still wait until the end of the measure before completing the transition. So send it early and you get more fill than if sent late. I know you can do this manually too but it is much more difficult to get the timing right.
One test worth trying is whether sending multiple 113 in succession continues the scroll through the song parts: so for example if I am on song part 1 and I have 75% of the measure to go when I send the first 113 1. What would happen if I sent another 113 1 immediately after or if I sent the following: 113 0, 113 1, 113 0 would it move on to song part 3, assuming there is one, skipping song part 2? Any ideas on what would happen in these cases?