For those of you using one or the other, what would you add?
The Yamaha doesn't require a secondary set of cases around the motor which to my mind is a plus in respect of not having to worry about the fit and durability of a plastic outer case, but on the downside of not having a plastic outer case, any marks or scratches or knocks are going to be permanent, and possibly costly. Replacement plastic cases are never going to cost much in comparison to replace.
As mentioned, the Yamaha battery is also larger, which makes the carrying of a spare battery less desirable or easy in a pack back. My spare Bosch battery fits neatly into my Camelbak Mule, the Yamaha battery would never fit in.
The control buttons on the Yamaha are more fiddly than those of the Intuvia set up for off road use.
Generally over here in the UK, the Yamaha range of motor is fitted to the lower end/spec bikes, but oddly when I looked a few days ago, the actual motor unit is more expensive to buy as a replacement. That was only from looking at one shop/site though, and may not apply in the US.
Bosch are shortly bringing out a dedicated mtb display that can be fitted in place of Intuvia. From the photos that I have, it is about half the size, so far more practical for off road use.
Court isn't quite correct in his comment about range reading on the Bosch system. The readings are based upon the last known use of the bikes, so the calculation assumes that the continued ride will match that of the last. For off road use, I don't see it as a worthwhile or trust worthy addition.
I don't think that one system is better than the other though, and both have their place. It's just up to potential buyers to try both and to see which system suits their need the most. I'd include warranty and back up service within that comment.