Here are the CDC's guidelines for funeral directors which extensively outline their duty to know all the details of the cause of death and other health info on the deceased.
Funeral Director’s Handbook: Death Registration and Fetal Death Reporting
Hmmmmmm…. I did a word search on that voluminous document and didn’t get a single hit on “vaccine” or “vaccination”.
LOL. You didn’t even read it.
The sole responsibility the embalmer has is to forward the cause of death certificate provided by the doctor.
Obtain the cause-of-death information and certification statement from the attending physician or the medical examiner or coroner…Items 24–49, listed below, pertain to information about the cause of death and are not completed by the funeral director but by the attending physician or the hospital.”
Since you didn’t bother to read your own link I’ll save you the time. Vaccination status is not one of the items the doctor reports.
I ask again. How would an embalmer know someone’s vaccination status?