Interestingly, the advantages to an off-center tweeter or irregular baffle shape are similar to the advantages of using an elliptical voice coil or off-center voice coil. Drivers with these characteristics are esoteric, but ScanSpeak makes the former and Tang Band makes the latter.
If you trace a line from the center of the driver to the edge of the baffle, the length of that line basically dictates the frequency at which the 6db baffle-step drop-off occurs at that point. If you trace a bunch of these lines, say in 1 degree increments, and average them, you will have simulated the baffle edge diffraction for your measurement point.
If the baffle is circular and your driver is in the center, every measurement will have that 6db drop-off at the same frequency, which means that there won't be a bunch of different responses averaging out - you will have the crazy ripple you see in Olsen's diagram. If it's a square, with the driver in the center, it's a bit better, but you still have four sides which are equidistant, so not a ton of variation. If you make the baffle rectangular, with the driver in the middle, it's a bit better, and if you make it rectangular with the driver offset from the center both in the X and Y axis, you will have created a condition where a great many different path lengths are averaged together.
In the case of elliptical/off center drivers, the idea is similar. By making a variety of path lengths, in this case from the edge of the voice coil to the edge of the cone, you are able to dissipate various standing waves over a frequency band or eliminate them altogether.