I don't think it's necessary to actually register the death prior to the funeral in Ireland. A medical certificate pronouncing death and the cause is enough to proceed. However the death needs to be registered within three months. That system must help speed things up I'd say.
Unexplained or sudden deaths etc. may require a PM, but again even if the cause is not established, an interim death certificate can be issue to allow funeral, and when the inquest gives a verdict, then a full certificate is issued.
I think death is very much a cultural thing in Ireland. There are announcements on local radio every day listing those in the locality who have died. Then everyone for miles around knows and can go to the funeral. For many it's an opportunity to meet with neighbours friends and locals. There is no such thing as an invitation to a funeral, or stressing over whether to go or not, All Are Welcome!
The deaths are (in the vast majority of cases) listed on RIP.ie, a portal for all deaths in the Republic anyway. So you can go to all the funerals you want. And more often than not, the funeral is live streamed from the church or crematorium for those unable to attend in person.
RIP.ie - most recent death notices | rip.ie
Funerals are a very big social thing in Ireland, and although there is a lot of sadness of course, it is a gathering of family, friends, colleagues, neighbours etc. to support the family of the deceased.