actually, no.
Makers mark does strip distilling by continuous column, then final distillation by potstill, but most large commercial distillers distill exclusively on continuous columns.
Batch distilling seems to be the domain of the Microdistilleries.
A continuous column can be tuned to cut the higher and lower compounds out in the distillation process, its never perfect but close enough.
This method doesn't have any real benefit for flavor, the benefits are economical, since its cheaper to run a continuous still then a batch still.
Considering the size of the columns the big boys are using, and the throughput, its difficult to scale down such an apparatus. Difficult but not impossible.
I've had a number of requests for such a design, but no one yet has ponied up the money for an experimental design, because thats ultimately what you will have.
there are so many factors involved in running a continuous column, that even a slight variation in your mash bill, or change in yeast can upset the whole system.
balancing all the factors is difficult, but not impossible. if you were able to get a reliably set up continuous stripping system going, your production would be infinitely scale-able (up to the point you're running 24 hrs a day)