We found just ignoring the rule about crossing the river taking an additional TU makes the scenario less fiddly.
I'm not sure why they put it in there in the first place.
The Medjay has the potential to cause TU loss on challenge rolls without needing a forced TU loss.
The only thing it does effectively is ensure you can't win the scenario in a single run, but that seems a bit disingenuous when they score your play through based on number of runs performed and the TU remaining.
(Winning in a single run as written is possible, but statistically improbable.)
The same could be said for any scenario. Asylum can be beaten in 1 run if you know exactly what to do. Marcy Case again for the same reason. They might have put the 1st run points for those who want to see if they can do it.