If a person is "rationed out" of the public health care...
Universal health care leads to rationing.
Medical resources are rationed in socialized systems so that some people are either denied care or have to wait for it. If a person is "rationed out" of the public health care service (perhaps because the treatment is not considered effective or cost effective enough to warrant intervention) they will be able seek alternative treatment in the private sector. If they cannot afford private care, they may have to go without.