It really combines the best elements of Red Dragon’s Francis Dolarhyde and Memento’s Leonard Shelby.
Personally I actually like this concept because the tattoos seem far rougher and more homemade than the theatrical version.
Of course, I understand that the tattoos were generally a point of contention among many fans, so I could definitely be in the minority here.
They look messier than the “Damaged” or Robin tattoos shown in the final version of the character, and that lends a sense that Joker could’ve given these to himself in an Arkham Asylum cell.