"managers are the ones who need to focus on people and elevating your team."

This is dangerously wrong. If you work in a team, your ability to work well with others and help others work well with you correlates strongly with both your productivity and the upwards slope of your career path. This is true in almost every profession, and even more so in complex and collaborative work such as software development. Labelling people skills as a manegerial issue is doing yourself a huge disservice.