The caregiver recognition benefit is indeed, as stated, for recognition. It's recognized that it's not a financial or income replacement. The intent is to recognize that there are caregivers, most of whom are spouses, who require some moneys to assist. The purpose and the intent, however, is to provide recognition, and that is why it's named as such.
To your question, however, it will not and does not remove any other authorities or eligibilities; for example, for treatment benefits, veterans independence program services, other respite that might be offered to the veteran as well, or nursing services, as you mentioned—not at all. It would be “in addition to”.