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Have you tried talking to your manager about this?

As an engineering manager, I have had people in my team that would much prefer me to shield them from other department heads and any higher levels of management as they want to minimise meetings and just deliver on work without the hassle of communicating with multiple stakeholders.

I have also had people that want to be included, enjoy documenting their work and communicating across the company and are naturally suited to lead the team – as a manager these people save me a ton of time as I know I can rely on them to run the team in my absence.

I might be naive as I don't understand the specifics of your team dynamics, but it might be worth to voice out your concerns to your manager and try to find a solution before you simply quit – it might be they are not aware of any of this or are inexperienced at leading senior people