I don't think so. Fewer people are cremated afaik, and the vast majority of funeral ceremonies take place in a church as opposed to a gathering in a funeral home or funeral chapel or funeral hall.
The funeral director in Ireland basically provides cars, hearse, embalming and dressing service, a room in the funeral parlour for the body to lie in state and be viewed if this is not done in the house, and a certain amount of setting up the church - setting out wreaths people may have sent, setting up a book of condolences, a basket for sympathy cards/Mass cards, and some ushering services sometimes. They also provide pall bearers if nobody from the family can manage that. They deliver all the cards and the book of condolences to the family afterwards.
You could have four or five visitations of remains going on at a time in a large funeral parlour, each one in a different room and clear signs up as to which gathering was which of course. This is usually a fairly solemn event.
Basically, when someone dies, they are laid in the coffin for a short time (maybe a day+evening), either at home or in the funeral home, then taken to the church in the evening ('the removal of the remains') and set in a side chapel (all of this accompanied by prayers at the set intervals along the way), then moved again to the top of the aisle for the Requiem Mass (if RC). People sometimes do a mini-visitation at that time too, lining up along the aisle to shake hands with family who are in the front pews and then returning to their seats. Mass gets going pretty sharpish on time, and at the end the coffin is loaded into the hearse and ferried to the cemetery. Prayers are said, holy water is sprinkled, and the coffin is lowered into the grave, which is then filled.
Sometimes the remains are removed to the church right before the funeral begins. (This is how RC funerals are done in the US.)
My exH was astonished that the coffin was lowered into the grave in Ireland, and that it was filled immediately. He was used to funerals ending when the coffin was laid on the ground next to the grave. Everyone then left the cemetery crew to do the burial. I found this extraordinary.