Interesting. This is one of the things that differs hugely between countries. I've taken about 550 funerals in the UK (I have what you might call a "portmanteau career"). I've only had one open-coffin funeral, and that was for a Caribbean family. It's not uncommon for the immediate family to visit the body before the funeral, but I haven't heard of restoration being used for that and I think embalming is quite unusua…
As you say, that would vary by country. Here in France, while I wasn't the one who managed that, I know that for my grandmother someone intervened so that the body could stay in her home where she died until she was taken for burial a few days later. I think it would have been a Thanatopracteur, which can be translated to embalmer. And for my grandfather, if I remember correctly, died after a fall that left him bruised, bruises which were hidden before I went to visit the body before the burial. But neither of those burials were open-casket, I think it's quite unusual here.