I find that the softshell, while slightly heavier, is more versatile than a fleece.
When I am hunting, I'm typically doing one of three things:
Moving quickly to get from one place to another (not really hunting, just travelling)
Stalking
Sitting still (glassing or waiting in ambush)
If I'm moving quickly, I'm typically just wearing my base layer, as the movement is keeping me warm. If the wind is blowing hard, or it's snowing or sleeting, or anything other than full on rain, then a softshell allows me to keep moving without having to put on rain gear (which overheats me no matter how "breathable" it is.)
If I'm stalking, I'm moving slowly. Softshell is perfect for this, as it provides some warmth, and also gives good weather protection from anything other than full on rain.
If I'm sitting, I just pull my puffy jacket on over my softshell, and I'm happy.
So:
My typical system is base layer; softshell; puffy jacket; ultralight rain gear.