Taking ownership of everything that we do is prudent to be a good leader. One must feel the sense of responsibility and do whatever it takes to meet with them.
There's an excellent book about it called Extreme Ownership that covers this topic very well -- in how SEAL Teams operates, how's their mind-set.
When you are a leader, you take the responsibility of the entire project, all its stakeholders including the TEAM, the project's success and failure. The success of the project may depends on you, but the failure definitely is on you.
Critical element of leadership is the team as without the team, there is no leadership.
Great leaders are often silent profesionals and seek/ chase no recognition.