My take on what would happen is that the Pegasus and MorphOS would be relabelled as "Amiga" and "AmigaOS", and Eyetech and Hyperion sued so they'd rename their offerings. I don't see BBRV effectively screwing the entire MOS team by dropping their OS from the product, and given the past relationship between Alan Redhouse, Ben Hermans and Bill Buck, I doubt they'll work together. AmigaNG will essentially be rebranded Peg+MOS (not a bad thing in itself, I hasten to add).
If Eyetech and Hyperion win the "name" lawsuit, it will mean even more confusion and fragmentation (we'll have two separate and incompatible computers, both called "Amiga"). If they lose, they will just go to other markets (why be a sub-niche?) and the Amiga wil lose some of the best hardware and software talent we have. I hope Hyperion will survive financially, they deserve to. Overall, not a pretty picture.
:-( :-( :-(