I think the main problem some have with Napoleon is that his government was not 'democratic.' That to my mind is an extraordinary viewpoint to take, and one that is ahistorical in both thought and practice. In fact, none of them were, including the young United States. When you gage historical events from the viewpoint of the early 21st century with its baggage of the nonsense of political correctness, false righteousness takes over along with a 'holier than thou' attitude towards some of the tough decisions that were made.
There are other choice terms that can be applied to those erroneous 'standards' but they cannot be expressed here, unfortunately.
Judgments of actions and people from a historical perspective should judge from the norms of the time being considered. Too many times they are not. And when they are not, the conclusions drawn are incorrect and somewhat ludicrous.
And sometimes the 'silly and unsupported claims' just have to be ignored. And you are correct-they are silly and unsupported.