My recommendation is to NEVER leave negative feedback on an employee survey. The BEST outcome I've seen from them is incredibly painful meetings that only seem to make the matter worse.
My speculation on this is two fold. The first is that putting things in those surveys is a "permanent record" or at least "yearly review" issue for your manager. So you are (justly or not) harming them, and they will tend to respond to being harmed. The other is that, if you think about it... if your manager is not a person who you can talk to about a problem in a non-anonymous way... doing it anonymously is not likely to help, it's probably better to just quietly leave.
My speculation on this is two fold. The first is that putting things in those surveys is a "permanent record" or at least "yearly review" issue for your manager. So you are (justly or not) harming them, and they will tend to respond to being harmed. The other is that, if you think about it... if your manager is not a person who you can talk to about a problem in a non-anonymous way... doing it anonymously is not likely to help, it's probably better to just quietly leave.