I can assure you that is not the case. The issue with the drake is its inability to deal with large amounts of paper and a relatively small bowl design.
Although both elongated, the inside of the drake bowl is considerably smaller than that of my Kohler power assist. This causes a bottle neck at the bottom and, if you have too much paper, bam you get a clog.
Also, the toilet seems to count on one stream of water to get everything down whereas my poweflush almost does the flush in two stages. It is all one flush but the water pattern starts to remove content to clear the exit hole then more comes to get the remaining.
I have had my power assist for two years and never, ever clogged it. The drake on the other hand used to clog pretty regularly until I learned its limits. Also, since the flush is just gravity fed the bowl does not rinse clean often so I have to flush again - so much for water savings.
I am no expert so I can only go by my limited experience but having used both the drake and power assisted (wellworth?) there is zero contest when it comes to bulk flushing or bowl cleaning performance.
What model Kohler is this?