I am not a lawyer but aren't NDAs supposed to be protecting information about the company but NOT omitting the fact that you worked there for 9 years? I mean ho

I am not a lawyer but aren't NDAs supposed to be protecting information about the company but NOT omitting the fact that you worked there for 9 years? I mean how can someone even ask to not mention 9 years of employment. I am not even sure how you can consider something like that. I am sure severance is not going to be that large right?