In your opinion, does a Timney unit solve this problem?
First, there are three problems:
1. The Rem700 trigger blocks the sear, not the trigger.
2. The Rem700 trigger has a connector that floats off the trigger bar itself, causing the sear to have nothing but the safety holding it up.
3. Single stage triggers should simply not be adjusted to very light weights, if you want a really light trigger, you need to look into a trigger designed for really light pulls. Typical single-stage sporting triggers aren’t those triggers.
OK, so the Timney issue:
An older Timney that “adopts” your Remington safety lever onto their trigger fixes issue (2), but not (1) and (3). I wouldn’t use these any more.
The new Timney Remington triggers that have their own safety mechanism that blocks the trigger, not the sear, solve problems (1) and (2). You’ll notice that Timney has changed all their triggers for the Rem700 to block the trigger, not the sear.
Only a trigger designed for light weights (i.e., designed to be really reliable and consistent under 2 lbs) solves (3). IMO, this would be a two-stage trigger, like the Anschuetz trigger group, or something like the CG Jackson triggers.