I had a friend who was practicing with his new .416 for his upcoming Cape Buffalo hunt. He was using it to shoot out of his second story window at ground squirrels in his pasture. Any squirrels that he missed got new holes to hide in.
To specifically answer your question, it is my understanding that the .22-250 was originally developed as a varmint cartridge, and with the right bullets it has been successfully used on deer sized (and larger) animals. I've shot both mule deer and antelope with mine. I have friends who have shot elk and buffalo with theirs.
And the .25-05 was originally developed as a deer cartridge that would also work well on long range shots on varmints on windy days. I've used my .257 AI, which is balistically similar to the .25-06, on everything from prairie dogs to elk. It's my favorite deer, antelope, and bighorn sheep rifle.
Wind is one of the most crucial variables in any kind of big game hunting. It helps level the playing field between a hunter with a scoped rifle and the game animals being hunted. This is not novel information. Any hunter who has consistent success in the field knows this. I have tried a couple different techniques for keeping track of the wind. Here are a couple.
The most simple and obvious is to just stay cognizant of it. It is amazing how slight of a breeze you can sense if you just pay...