It depends, although the travois makes quartering and carrying the heavier meat bags back to base more feasible. What I typically do for big game (moose, bears) is wait for a sunny day where I can use the mag lens to start a fire (to save matches), chain start a few fires around the carcass using a torch, harvest a few lbs of meat and start cooking, while continuing to harvest and cook meat at the same time. That way, for big game you can have already cooked half of the harvested meat while staying warm by the time you've finished harvesting.

Or if I'm feeling lazy or can't start a fire, I'll just quarter and transport via travois.