I did the same thing moving from an IC to a management role and wholeheartedly agree that now I have the ability to influence the culture within my team of developers and also influence other managers' norms and teams' culture. Yes, I haven't been coding, but throughout the past years I've been able to create and form a team with a healthy culture that has been successful.

Large tech companies have more than one "culture" which various across departments and projects. When I found myself stuck in an unhealthy project I would look for opportunities to transfer within. Usually I was able to find a team that suited my interests and way of working.