Learn English – Word or phrase for doing something poorly so that someone else does it for you

Characters such as Léon are anti-heroes:

a central character in a story, film, or drama who lacks conventional heroic attributes:
with the age of the anti-hero, baddies and goodies became less distinguishable from one another

TVTropes' entry for antihero reads:

An Archetypal Character who is almost as common in modern fiction as the Ideal Hero, an antihero is a protagonist who has the opposite of most of the traditional attributes of a hero. (S)he may be bewildered, ineffectual, deluded, or merely apathetic. More often an antihero is just an amoral misfit. While heroes are typically conventional, anti-heroes, depending on the circumstances, may be preconventional (in a "good" society), postconventional (if the government is "evil") or even unconventional. Not to be confused with Big Bad, who is the opponent of Heroes (or Anti-Heroes, in that matter).

A related term often used synonymously is Byronic hero (Wikipedia):

The Byronic Hero is a type of character (an Anti-Hero, an Anti-Villain, or Just a Villain) popularized by the works of Lord Byron, whose protagonists often embodied this archetype, though they existed before him*. Byronic Heroes are charismatic characters with strong passions and ideals, but who are nonetheless deeply flawed individuals who may act in ways which are socially reprehensible, and whose internal conflicts are heavily romanticized.

Léon is one of the characters mentioned on Wikipedia's list of fictional antiheroes.

The crooked DEA agent would perhaps then be an anti-villain. Both of them are flawed characters (just like Lance Armstrong).

In psychiatry and psychology, it is called guilty ideas of reference and it actually differs from delusions of guilt which is a more severe form.

Guilty ideas of reference. Those affected feel that others are blaming them; in more severe forms they feel accused. Insight is preserved and so sufferers recognise the feeling as their own. Intense forms shade into persecutory delusions.

_{Seminars in General Adult Psychiatry (edited by George Stein, Greg Wilkinson)}

The following excerpt includes a more explicit definition and a comparison to simple ideas of reference:

Guilty ideas of reference refer to thoughts that other people are blaming them for some action or attribute, and in more severe cases may exhibit paranoid themes relate to thoughts that others are "out to get them" or punish them. On the other hand, simple ideas of reference exhibit more socially anxious themes characterized by self-consciousness and the belief that other people are taking special notice of their flaws, criticizing them, or laughing at them.

_{The moderating effects of perceived intentionality: exploring the relationships between ideas of reference, paranoia, and social anxiety in schizotypy (by Sean C.Morrison)}

Further reading for a detailed description and a comparison to simple ideas of reference, delusions of guilt and pathological guilt:

• Measurement and Classification of Psychiatric Symptoms (By J. K. Wing, J. E. Cooper, N. Sartorius)