They should quit calling it "inoculation" because it is not by definition
Inoculation
[ĭ-nok″u-la´shun]
introduction of pathogenic microorganisms, injective material, serum, or other substances into tissues of living organisms or into culture media; introduction of a disease agent into a healthy individual to produce a mild form of the disease, followed by IMMUNITY.
Immunization or vaccination. The procedure by which the immune system is stimulated into producing protective antibodies (IMMUNOGLOBULINS) to specific infective agents, such as viruses and bacteria by the introduction into the body of safe forms of the organism or of its ANTIGENIC elements.
https://medical-dictionary.thefreedictionary.com/Innoculate