Yes, but a character's perception of himself (or herself) does not necessarily reflect the author's intent. A character that is aware of his or her faults and explicitly states them is seen as self aware and marginally more sympathetic, particularly if the narrative shows them behaving in a way that is contrary to their negative self image (Deadshot's affection for his daughter, Bane and Scandal's obvious care for each other and even Ragdoll's attitude towards Parademon all make them appear more human and less like the monsters they may claim to be). If Jason saw himself that 'honestly' but was shown to still care and display human affection he'd come across as much more sympathetic.
As for Jason...you really think he's making the other villains look like social workers? I hope you mean the average street criminal and not the indiscriminate killers, terrorists, rapists, torturers and occasionally genocidal monsters that make up Batman's rogues gallery. Hyperbole is one thing, but come on....!