Absinthe was around 70% abv. Much easier to overdose on alcohol than with 40-odd % tequila. It is although understood that there was a lot of adulterated absinthe around. And even in the presumably good stuff, the distillation techniques of the time left somewhat to be desired and the resulting drinks contained nasty chemicals (notably methanol).
That said, I still think the moral panic was completely out of proportion and, as the article mentions, absinthe ended up being a convenient scapegoat. It is very similar to how gin was seen in England.