yes. the fundamental difference is that the log profile is what the sensor see's prior to any processing. therefore the log profile maintains all and more of the information that would be captures in a non log profile.
with the ridiculously low contrast lenses the sensor often might not even pick up shadow detail due to the lens milking over detail in the darks.
the main factor to these lenses is that they are introducing negative effects on the image seen by the sensor. it is image degradation in the same way shooting high contrast in- camera kills shadow and highlight detail, only in the physical domain instead of with in-camera processing.