Firstly, I sincerely hope all is well with you, Theland... you've been gone a while.
Here in the U.S., when one checks into a hospital, or, as you reference, a hospice (I'm assuming the term means roughly the same thing for both our countries) there are questions on the "enrollment" forms that gently ask the patients religious preferences. Depending on the answers, the patient can be visited by an appropriate (Catholic/Protestant/Jewish, etc.) clergy. A space indicating no preference is taken to mean ambivalent or even atheist. In those cases, according to a pastor friend, the patient or the patients family is asked if they would like to be visited. That's the end of it if the answer is in the negative.
Since most of the hospitals here are sponsored or outrightly owned by one church group or another, it's a given that spiritual counseling or comfort would be available, unless declined.
Personally, I think it's of the utmost importance... even for the unbeliever,but that's my own worldview...