I promptly reprogrammed the ones I had, so I can't go back and document it at this point. I've made one more and it did have both Brave and Hydrophobic.
I'm quite sure that the middle one didn't have Brave though, it had Technophobe, Artistic, Loves the Outdoors, and Green Thumb along with Hydrophobic. Which made me laugh - a robotic technophobe?
I'll see if I can come up with some time soon to start a throw-away game to cheat my way into lots of LTR points and try to do a bunch of them at once to see how they come out.
Thanks for the guides, Carl, this is one of the most helpful sites I've seen for all sorts of things.