Saw you are building an MX bike, welcome to the forum. Most people around here run an airbox or a custom extension rather than just a pod off the back of the carb, which can add turbulence. Certainly the stock airbox is a bit restrictive and worth dumping, I doubt 4 or 6 in really makes a difference beyond longer time between cleaning.
Duncan Racing uses modded TRX250R airboxes. Others use aftermarket like the one off ebay or F7s. Personally, I think a modest custom tube off the carb going to a 6in pod would be a hot ticket. Plenty of room for it, and the tube is supposed to help velocity and reduce turbulence. Outerwears are a def plus.