My experiences with a high velocity .25 are different. My first deer rifle (almost 40 years ago) was chambered in .25-'06 and I've had one on hand ever since. I've shot more deer and similar-sized game with the .25-'06 than anything else and this cartridge, loaded to its potential and using a properly constructed bullet, kills like a lightning strike. The Weatherby delivers even more energy and hydrostatic shock for a given bullet weight, so I would expect the Weatherby chambering to deliver in the same way.For me it would entirely depend on where I lived. As stated above the 257 weatherby is not economical at all. It's hard on barrels and brass etc is expensive for all weatherbys. But to each his own. I know that I would use the 7mm rifles more for deer.
The reason I say it depends where I live is because I live in Mississippi and long shots are not the norm in the southeastern woods. Calibers like the 257 and 25-06 work great out west for long flat shots where deer can run and die in thin cover but slower and larger bullets seem to work better in the woods delivering more kinetic energy. The 25-06 and similar seem too fast and the deer run farther and are harder to retrieve in dense cover.