Not quite. The 'burn rate' is a measure of how quickly an infected person ceases to be a vector of infection (by getting better or dying). I'm talking about probability of getting infected at all. Technically, an immune individual shows a burn rate of infinity since they never carry the infection in spite of exposure.
So mass vaccination increases the effective burn rate as measured over the population.
Only after you hit the HIT (Herd Immunity Threshold); below that, pretty much everyone who can get the disease, will, if it has a long contagious period prior to onset of symptoms, is contagious after symptoms remit and the person is not educated that they need to stay home longer, even if they "feel better", or the disease has asymptomatic carriers. Or some jerk decides to "work through it", and exposes their coworkers.
And as the math proves, measles and pertussis have an HIT too high to be able to pop over the top of the HIT to get to that saddle point. Their only saving grace is that people isolate themselves when they feel ill.
NB: measles is infectious 4 days before onset of symptoms, and up to 4 days after symptoms remit; pertussis, at least, is only infectious after onset of symptoms, and remains infectious for only 3 weeks (but symptoms last longer, if untreated with antibiotics); if treated with antibiotics, pertussis is no longer infectious after about a week. Measles is pretty insidious.