Yes, technically, you are correct.
but (I know, I know, but there is a but)
It is proven to only work for a certain amount of time (depending on which vaccine, body type, blood type, etc..). The average amount of time is 4-5 months.
What most are worried about are the after effects because though it is a medical breakthrough, it has not been around long enough for for us to know how it affects us after a given time period and to specific ages. For example, there are quite a few studies that are worried it might cause sterility.
No hate, just a friendly debate :)