I do feel they gloss over the elephant electrocution and even by standards of that time was a bit shocking, even if there were almost no animal welfare laws. To be fair to Edison's group, this PR stunt was tasteless, but the elephant was already sentenced to death. My understanding is the alternative would have been a grisly shooting with an elephant gun which is far less humane than electrocution.
Again, the Oatmeal comic is pretty poor representation of the period. I understand its popular and ties in with Tesla fandom and an over-represented demographic on the web, but I think those honest about knowing what these men did should dismiss it and dig into more academic sources. This period is so exciting and interesting, its a shame a lot of youngsters grow up with a simple minded 'Tesla vs Edison' narrative which is such a stupid oversimplification of an amazing and progressive period in US history.