I don't care if triggers are 4, 5, or 6 pounds as long as they are fairly even and without too much creep. Much under 4 pounds just is too light for me.
You are in good company. IIRC, Carlos Hathcock stated that any trigger pull under 5 lbs was just too light. His business with a trigger was much more serious than any I have ever had, but, a pull much lighter than that doesn't work well for me, either.
I don't own any guns that weigh less than about 5 3/4 lbs, however. I never have shot very light guns well, regardless of trigger. Any hunting I do involves a fair amount of walking, and working, not sitting around and waiting, so, that likely makes a difference as well. Clay birds are no more to me than practice for real birds, and I don't own a specific target gun.
I shot skeet last weekend with a several time national champion who made the observation I was rubbing my chin when I called for my bird. Yes, that happens to me when I am hunting. I never pre-mount my gun at skeet, because I never pre-mount my gun while hunting.
Might as well practice for it. With the guns and triggers I hunt with.
Best,
Ted