Ultimately pack size and configuration will be influenced by the style of hunting you'll be doing and how you choose the carry food, water, etc. As you get up past 5 days, there are certain fixed costs in terms of space that you simply can't get around. Most notably, how are you carrying food and water.
For the type of hunting I do and the way I configure my pack, the Marshall would be my choice for 7 days of the two you've listed. While I can be pretty efficient with packing my calories and seldom carry extra water in favor of finding it in the field, I do carry some comforts and frequently an extra "this or that". I also usually pack my sleep chamber outside my pack.
If you're doing base camp style hunting where you're going to hike in and dump a fair amount of volume and weight, you can sometimes get away with a smaller volume pack with the kitchen sink hanging off it for the hike in/out. If you're on the move, you'll want a pretty buttoned up and contained system. There are a ton of options for 7 day backpack trips from the MR Marshall to Kifaru (Reckoning, EMR, AMR, Nomad, Crater, Cavern, MW), Kuiu (Pro 5200 and 7200, Ultra 6), Stone Glacier (40/56, 5900, 6200, 6900, etc.), Exo (5500), etc. I avoid the really huge haulers (7-8K ci) just as a personal thing but for a 7 day trip I'd want minimum of 5K CI or thereabouts with the ability to expand/compress.
Good luck in your search and on your hunt.