One of the two worst triggers I have owned is my old Marlin 336 35 Remington which had a 8.5lb pull until I put a Wolf hammer spring in it which reduced it down to 4.25. I can live with that for a deer rifle with no problem. Number two is a Springfield 840 (cheap version of the Savage 340) chambered in 30-30 which has a truly terrible trigger too. I've never put a scale on it that I can recall but it has creep galore. You just never know when it's going to fire. :) But then I just paid $60 for it as a high school kid so expectations were low.
My lightest trigger is a Shilen match trigger set a 1.5lbs on a Remington 700 ADL in 25-06. For deer hunting I think I prefer the factory trigger. It was in the low 3lb range and creep free. The 1.5lb Shilen is perfect for shooting prairie dogs on a hot Summer day but I can't safely feel it with gloves on. That forces me to hunt gloveless when deer hunting which can lead to some cold fingers!
I put a standard Timney on a surplus model 98 Mauser several years ago and was amazed at how it transformed the rifle for less than $30. (Yeah, $30. And it wasn't all THAT long ago either that it was that cheap - maybe 12 or so years??) It's not equal in feel to the Shilen, which cost 4 or 5 times as much, but you are definitely going past the point of diminishing returns on your money spent when buying a more expensive trigger than a Timney.
The factory trigger in my Remington 40X Rangemaster bench rifle is a real pleasure to shoot too. Since those rifles come from the Remington custom shop, everything about them is set up to perform right out of the box.