I would not worry about what that review says, especially in light of the fact that what it says is completely wrong. The example show is *not* pin-cushion distortion, but barrel distortion.
All cameras exhibit barrel distortion at wide angle. It is quite easy to avoid it by not using the widest angle where such distortion is undesirable. It can also be corrected for in post-processing; some programs do it automatically.
The LX5 I mentioned previously has less than average lens distortion.