I mean I get the sentiment but months? Which kind of company size are we talking? I'm not saying you should talk to your CEO every week, but twice a year sounds really weird to me.
I mean you are both part of the executive team. The CEO is an immediate part of your working group. You probably should be talking almost daily at times.
It would be like the product manager never talking to their team’s engineering manager. The two are tied at the hip—at least in orgs I’ve worked at.
Months is VERY weird.