No doubt you will most likely succumb to a different runny nose virus, due to the fact that there exist more than 300 various runny nose infections. However you will never get the same runny nose infection that you had in the past because you have developed resistance to that virus.

HPV is comparable in that HPV is just one more viral infection. And you will simply establish immunity to human papilloma virus. However, human papilloma virus is more adept at concealing from your body's immune system compared to the rhinitis viruses. Moreover you need to try with more diligence to acquire resistance to HPV.
https://shanehjuk.bloggersdelight.dk/2021/05/31/how-to-fight-hpv-naturally/