All true, but we've learned a lot more in the past 100 years. Think what the state of medicine was like in 1796 and 1918. No antivirals, not even antibiotics. It's not unexpected that there was fear of the first vaccine, but we have many vaccines now and routine vaccination of children for close to 70 years, not counting routine smallpox vaccinations going back about a century. If people are fearful of the new mRNA-type Pfizer and Moderna vaccines, they can get the J&J, which is a standard vaccine.
The opposition is most peculiar. In 2007 TX Governor Perry (Republican) by executive order mandated that all girls must receive the HPV vaccine to protect against the virus which causes cervical cancer prior to being admitted to grade 6, even though that transmission is through sexual activity, hopefully ruling out classroom spread. TX was the first state to make this requirement. Merck lobbied heavily. The legislature overrode this order after conservative lobbyists claimed it would promote premarital sex.