I have served at both Antiochian and Russian Funerals, the priests usually have the scroll in the hand already if they are trying to make the services quicker for the non-orthodox attending, but read the prayer. the from placed on the head may be there already or placed during the service and often is simply a paper crown with the world printed on it. I have also seem cloth crowns with the words silk screened. A simple white sheet is covering the body as a shroud and is pulled forward over the head just before the priest closes the coffin. If one is luck enough to have a printed shroud it is used, but in most cases people have not prepared for their own death and a sheet is more common in useage. Several Greek funerals I have been to did these practices also.
I believe most people don't see them being done because of Grief , as well as, the adeptness and smoothness of action as the priest completes the rubrics of these practices. They become more apparent in parishes that do not do funerals often or with priests who are new and less use to completing the rubrics. One young priest I knew actually spend several hours trying to do everything smoothly so he would not distract from the service due to clumsiness , his practice worked, he served a beautiful and smooth funeral---a great comfort to the family and honor to the one being buried.