Nursing homes push hospice care because a nursing home is not al that equipped to deal with dying patients such as in dealing with the time leading up to death.
A hospice car center is much better at dealing with the approaching death of a patient and you can sometimes have some hospice care people come to a nursing home if you do not want to move the patient from a familiar nursing home to another place such as hospice care.
The hospice care facility or staff will help get the patient ready for the approaching death and helps those people prepare for death and accept death that is coming.
Hospice care is much better for a patient that is dying than a nursing home is and hospice care staff are much more caring for a patient that is about to die than a nursing home staff is.