True, it is usually not offered to most people past age 26 (sometimes people can get it up to age 45 depending on a conversation with their doctor) (CDC, first source below). By that time, people have usually already been exposed to these types of HPV (CDC, first source below). This illustrates the importance of primary care as routine pap smears (done once every 3–5 years depending on your age and if extra tests are done) keep an eye out for anything unexpected that arises. As for this article's topic, annual physicals involve asking questions about your health from head to toe and can pick up concerns that need to be worked up. As for head and neck cancers, 70% are thought to be due to HPV (CDC, second source below); these are readily treated with surgery and/or radiotherapy and/or chemo with overall pretty good outcomes.
https://www.cdc.gov/cancer/hpv/basic_info/hpv_oropharyngeal.htm
