For me, weight is very important because of medical issues. My shoulders and neck are so jacked up, I can not carry midsize binoculars around my neck. I can carry a long gun in my hands but even that gets heavy at the end of the day. So weight is important to me. With the 375 however, you are in a catch 22 position because of the recoil.
Serious backpackers who are tip top shape will buy anything to save a couple ounces because a couple ounces add up. Dropping a pound on something you carry all day for multiple days is worth the investment for even athletic people. If you already have a perfectly good rifle you like, I probably would not make the switch but if you did not have the rifle yet then weight should be one factor to consider when planning a long active hunt.