If there was someone in my family who would gain comfort from it, they could bring in Bozo the clown to throw one last sacred custard pie in my face while singing three verses of "My old man's a dustman" in Swahili and hanging from the ceiling by his testicles and wearing an aqualung.
It will be just as effective and just as pointless.

Meh, what do I care what a priest does with his time? If he brings wine, he can stay. But he'd better have a sense of humor.

I would hate that.

Yes I would. If I am dying I'd like to do so without harassment by religious zealots.

Absolutely I would object! Politely and Vehemently!

I would object to any and all religious nonsense on my deathbed. I'd kick anyone out of my room or house who insisted on that crap. If they can't support me in the way I need them to, I have no use for them.

I don't foresee that as happening, as I've never identified as Catholic even when I was a believer, and to my knowledge they don't do this for non-Catholics unless perhaps by request.

Anyway ... I would object to any sort of shaman performing rituals when I'm trying to die in peace.