When I was trading ES regularly I frequently entered on stops and, almost always (more than 95% of the time), was filled at my stop price. Size was always small ... 10 lot or less. Given that you are trading size I am willing to stipulate you probably understand this better than I do. So tell me if it is semantics that separates us or something substantive that you can explain.
I find there are few things outside of physical laws (gravity etc.) that are always true or always false. The 95% plus gave me enough certainty to proceed which was all I was seeking.