Comment by username90

Your skip level manager is not any more able to fire you than your manager, so I see no reason why you'd have to be more careful in those meetings than the 1:1 with your manager. I'd even say that if you aren't getting to meet and make an impression on your skip level then there is something wrong. They are your best bet to get promoted and if the organization tries to block that path for you then why should you stay instead of looking for better opportunities?