I know what you are trying to get at, but ES is not the measure that will get you there. ES is only the tails of the distribution, the extreme ends. No matter what distribution we look at (normal, Poisson, Negative Binomial, Gamma, etc.) the tails all have extremely low probability of occurring. Close to zero probability. What I care about is where are the bulk of my bullet speeds going to be. There are only two statistics that matter for this and those are the measure of central tendency and the measure of dispersion. Here, we'll use the mean and the standard deviation to measure each.
To make sure that my bullet speeds are under control, I want a small standard deviation around a mean that I find acceptable. Plus or minus 3x the SD will tell me the upper and lower bound where I would expect 99.7% of my bullet speeds to be. No need to go to 5x as that last 0.3% is really likely out of my control anyway. If I find that I have a SD of 10 for a load, that means that my total spread from minus 3 SD to plus 3SD is 60fps., I'm probably OK with that as long as the mean speed meets my expectations. 99.7% of my shots should be within that range with the occasional, very rare at 0.3%, shot outside that range.
I don't care about the ES, I care about the SD as that tells me where the bulk of my shots are going to be and I think that is what you're after in the end. From your last sentence I can tell we're after the same thing, but I want to tell you that SD is the measure that will tell you there, not ES.