:Your assumption is incorrect, and no section update is needed.  It may be worth noting that the vaccine did not work well with HSV-1 infected patients, but it is absolutely wrong to suggest any "conclusion" about what that means for the immunity of people infected with HSV-1.  As a matter of fact, there is copious research which indicates that HSV-1 infection has no helpful effect w.r.t. HSV-2 infection, just as Chicken Pox (HSV-3) also has nothing to do with it.