Treatment is medical care, which is

the provision of what is necessary for a person's health and well-being by a doctor, nurse, or other healthcare professional

, so health is redundant.

Any of treatment / medical care / health care is widely used and should be commomly understood.

^{I could be wrong. I am not a native speaker.}

Treatment can mean medical care, which is

the provision of what is necessary for a person's health and well-being by a doctor, nurse, or other healthcare professional

, so health may be omitted.

Any of treatment / medical care / health care is widely used and should be commomly understood.