Do you feel it is important to give loved ones "permission" to die?

I think that it is fairly common when someone that we love is close to death to say something like “it’s okay to go.” But, do you think it could be important?

I have worked in hospice for years, and it seems really common that once a person has been given “permission” to let go, that it tends to happen very quickly. I often wonder if that is a vital part of the process for certain people at the end of their lives.
Do you think that it is possible that an internal fight to hold on might keep people alive longer, even if they are physically dying?