I've got three off the top of my head that will do that consistently - doesn't seem to be much in common with mine. A 700LA medium barreled 338-08, a 700LA 375 H&H and a Steyr 308 mountain rifle. Conversely I've got a .260 that will move almost off the target between 140 to 129 grain loads.

Sure is handy to have a deer load and a mild cheap bullet pig load that shoot to the same POI here in TX.