This is my perspective on the two designs. At least one or two others have both so maybe they'll add their viewpoints also.
The Wedgies are physically smaller. I think they image a little better, have been described as scary clean, and have something I can't really put words to.
The NX-Otica monitors are physically larger and have a fuller midrange.
Room size is a factor. In the smallish (11'x13'x8' and 12'x14'x8') rooms in my house the NX-Oticas can be too much without decent room treatment. They can have a cave-like sound. With absorption in the corners behind them, dispersion at the first reflection points and absorption behind the listening position (it is only 1' off the rear wall) this is tamed and they no longer sound cave-like.
One reason this echo effect is more pronounced with the Oticas than with the Wedgies is the Oticas need more power to have the music move forward and open up than the Wedgies do. This means the Wedgies sound full and open at lower volumes, which may be part of what I can't put my finger on with them.
In a larger room, with more space around them and the listening position farther away (12' instead of 8') the Oticas come into their own. Now they are full, open, have great midrange, and are not overpowering. They still need the extra power for the music to move forward and open up but since you are no longer sitting on top of them it is not too loud.
The differences between the two come down to preferences. I have had one person who has heard both prefer the Wedgie regardless of room size and others who would choose the Oticas due to the better midrange.
I guess for me, in a smaller room, especially without much acoustical treatment, I would prefer the Wedgies while in a larger room I would opt for the NX-Oticas. So which one am I actually listening too? I am now using the 12'x14'x8' room, with room treatment and the NX-Oticas. I can only get about 9' away from the speakers so I give up a little of the OB magic, especially at lower volume, for the fuller midrange.
All that said, there are two other OB monitors being developed, the single Neo10/Neo 3 and the Super 7. Once those are ready for prime time, which sounds like it may not be too much longer, the options are going to be much greater.