In Daredevil, Frank Castle is quite the opposite. Despite debuting in The Amazing Spider-Man #129 from Gerry Conway and Ross Andru, the Punisher became an important foil to Daredevil in their methods as vigilantes. Frank Castle does not hesitate to kill his enemies, citing that he does a service to society by doing what few others will, while Matt Murdock firmly believes that everyone deserves a fair trial in the criminal justice system. For this reason, the Punisher looks down on Daredevil for being unable to do what he believes is necessary, leading Frank Castle to think of himself as a far more deadly vigilante than the Man Without Fear ever could be.
This idea however was turned on its head in Daredevil #4 by Chip Zdarsky, Marco Checchetto, and Sunny Gho, where Daredevil and the Punisher fought each other over their ideological disagreements. After Daredevil picked up the Punisher's guns and purposely shot Frank in his kevlar vest, the Punisher taunted him for going for a nonlethal attack. In retaliation, Daredevil sent a flurry of bullets at Frank that grazed him in the neck, hand, knee, and shoulder, all vulnerable places not protected by kevlar, proving that he could have killed him if he wanted to. As Frank lay in shock, Daredevil said, "...Do you have any idea? Any idea at all what I can do? The level of carnage I could unleash with a gun in my hand? The number of dead if I decided to be like you? It's no contest, Frank. You're amateur hour."
In this moment, Daredevil proved to the Punisher that he is in a completely different league from Frank Castle when it comes to his potential for gun violence, one that he purposely chooses not to partake in despite the advantages he has. The ease in which Daredevil beats the Punisher at his own game challenges fans' perceptions of Frank Castle as Marvel's resident badass. Matt Murdock's abstention from lethal force on moral grounds doesn't take away from the fact that his powers give him a horrifying advantage over regular people, including the Punisher. As Zdarsky's run shows, Daredevil's combination of rage and physical expertise is a load that he must take full responsibility for, because the consequences of him losing control could yield a body count fit for a villain like Bullseye.
This issue illustrates a fundamental difference between how Daredevil and the Punisher wish to be perceived as vigilantes. The Punisher derives power from the fact that his name is synonymous with death. On the other hand, Daredevil doesn't care about being perceived as weak for his moral code, because publicly performing his true capacity for violence would eclipse his effort at modeling good behavior in Hell's Kitchen. Violence is a symptom of the job, but it isn't necessarily the only language in which Matt Murdock can achieve his goals.
By beating the Punisher at his own game, Daredevil proved that he and Frank Castle are cut from the same cloth. While Daredevil is not commonly thought of as a fearsome Marvel character, he demonstrated to both readers and the Punisher that there is a scary side to him that must be purposely reined in. It seems that by mistaking Daredevil's moral code for physical ineptitude, the Punisher set himself up to be exposed as the "amateur" that he really is in comparison to the Devil of Hell's Kitchen.
