You'll often hear people talk about the "center sweet spot" and lenses do in fact resolve better on axis than off axis, but this typically doesn't change the math very much because most good lenses have fairly even fields until you get to the corners. There is also some degradation from sensor stack thickness, and MFT unfortunately went with a 4mm cover glass -- more than twice as thick as is typical for APS-C or FF. Fortunately, a well-designed focal reducer can correct that. That means MFT + focal reducer could out-resolve bare APS-C. It also means that APS-C + focal reducer is even more competitive with FF than it sounds because the resulting 10% crop is pretty much taking out only the often vignetted and soft corners.
Note that having sensors with higher resolution doesn't increase the delivered resolution, but does decrease artifacts. 20MP MFT images tend to be very clean in that sense...
In fact on M4/3 forum we often hear praise for the Sony RX100 and the quality of its 1" sensor images.
Of course, lenses designed explicitly for a smaller sensor can do better -- which is why the Sony RX100 series gets praise while the comparably good 1" sensor in the Nikon 1 cameras was never taken seriously for using adapted lenses. This is also why the DPReview test scene looks pretty good for the smaller-sensor cameras: the test scene is shot with the best-resolving lens DPReview could find.
At this point, I also need to remind any reader that 135 film typically delivered the approximate equivalent of a clean digital image resolving between 1.5MP and 6MP -- so MFT with a good old lens is capable of producing images of competitive quality to film prints in museums. In other words, MFT is probably good enough for most things.
In sum, enjoy shooting with it and let us know how it went.
Myself also ....
I think we all know you enjoy MFT.
Likewise, I guess by now we all know I will not be truly happy* until I have a sensor that is at least 4x5". ;-)