The Rem 700 though is pretty much ready to shoot as it comes. Most Mauser's have had to be reworked to have this accuracy. So, if you have modern strong steel and your Mauser feeds your chosen sniper round correctly, that would be my choice. (There is sometimes a ding on the rim from doing this) Which can also have an effect on accuracy. Certain model Mauser 98's can do this but it is rough on cases. The Rem 700 on the other hand, can can be fed by simply laying a case on the feed tray giving no adverse side pressure while chambering a round. However, when you boil it down, the the CRF of the Mauser can put side pressure on the case as it goes in. Initially it would seem obvious that the first would be the choice. There is a point when the case is not controlled by anything other than gravity. The Rem 700 extractor does not engage the head of the case until it has been solidly pushed into the chamber. As the bolt pushes the round forward the head of the case pops up out of the magazine where there has always been positive control of the case. bend slightly around the face of the bolt. This is accomplished by a bar that sits alongside the bolt body and has a 90 deg. Which means the case is controlled from magazine to chamber. The Mauser '98 has a "controlled round feed".
The biggest two differences are the type of extraction, and obviously, the quality of steel being used.