I was VACCINATED with the most successful vaccine, which eradicated the entire disease from earth. That was around my 1st grade. 2 or 3 years later I came down with smallpox!
That blows your theory out of water! Keep in mind smallpox has 30%+ mortality rate. I was a 8 or 9 year old youngster, a skinny little runt. Pox broke out on my entire skinny body. Fevers of 102-103 daily for several days. I have to believe being vaccinated, I had some anti-bodies for smallpox floating around in my blood, and may be why I recovered.
Now 72 years later, I still have marks on my face left behind by the smallpox.