Do Batman's enemies vent their frustrations on him?

[Catbat]

It goes without saying that The Penguin and Catwoman's "rational" criminal agendas make them clash with Batman, but is there something more psychological and obscure that motivates them?

I came to the conclusion that they both somehow try to vent their frustrations on him, as if they unconsciously recognized that Batman had, to a certain extent, the same behavioural problems and that they could redeem/cure themselves by making him experience the same complexes.

The Penguin has an intense desire to be accepted by Gothamites (thus his attempt at becoming the mayor) despite his deformity. He then tries to challenge and then frame Batman (who is mildly accepted as the city protector) to substitute him and receive a little gratitude from the people. He also draws a parallel between his own monstrous features and Batman's intimidating disguise, mocking him a couple of times because he "wears a mask" (while the Penguin has no choice, his natural face is his mask, a circumstance he obviously regrets).

Catwoman instead tries to replace Batman by introducing her own brand of vigilantism, that takes to the extremes her aggressive feminist stance (vengeance against men and degradation of weak women). In that respect, she sarcastically tells Batman to retire after he failed to rescue the Ice Princess. Catwoman also unleashes on him the disappointments of Selina's unlucky affairs by turning them into sexual frustrations for Batman. A notable example is her eroticizing the batsuit towards the end of their first fight, a tactic she uses to puncture Batman with her claws and deny him any form of physical pleasure.

What do you think?

[Catwoman]

Well Batsy did napalm her arm just as she was starting to feel good about herself.

lol

[The Laughing Fish]

Let's not forget the Joker. He started to make his presence known in Gotham because he was jealous that a fellow "freak" like Batman was stealing the media spotlight.