Do not for one minute think that the Rem 700 trigger is the one, only, and sole cause of negligent discharges that can happen with their firearms. Plenty of owner induced issues amplify the number of these guns firing. It has been shown that one too many owners do adjust the trigger too light, or with too little reset, that they can and do use the wrong lubricant which can and does affect the trigger mechanism, and that they do practice handling and unloading procedures which increase the risk.
It's called a negligent discharge and I speculate the larger number of them in Remingtons is due to that. Since there is no forensic examination of every gun in every instance over the last fifty years, there is no empirical proof what the causes are. What we do know is that the trigger does have a design defect that may cause it to go off, and that humans are prone to error. I can definitively prove the latter, as Mike Walker didn't invent the Glock SAFE trigger, yet there is a growing number of Glock owners with the telltale mark known as "Glock Butt."
There are also thousands of Remington owners who simply refuse to have their firearms handled by Remington, and not all are replacing their triggers. Timney isn't sold out of that model and they remain available. Their view is that what was proven in a courtroom doesn't mean it's necessarily a problem in their life and they accept that their handling of the firearm will not endanger them. They likely never push the safety off when loaded unless it's pointed downrange using the 4 Rules.
Because some would make that same decision regardless of the expertise of their view, and because we live in a society that says "if it saves the life of one," responsible owners get the Walker triggers removed. Frame it and hang it on the wall. It's a great talking point when friends come over and prompts discussions over cost/benefits, liability, and public perception. These will become rare enough in the future as firearms memorabilia as Remington is scrapping every one sent in.
Timney or otherwise, choose carefully how the new trigger is installed. Field triggers on hunting rifles should be set over 4 pounds, military standard is 6. Adjusting the trigger to competition range weights is fraught with the higher risk of discharge in itself, a gun carried over rough terrain and handled in the cold of winter with gloves on doesn't justify a 2.5 pound trigger, it is a known hazard and has no place on a field gun. What it has is a large number of fanboys who think that it makes a significant difference and who adjust them that way regardless of the safety of their family and selves. Case in point, the newest issue sniper rifles no longer have user adjustable triggers. The constant problems caused with tinkering with them have been proven a liability, not an advantage. A serious shooter learns the trigger, and pull weight on triggers doesn't make the bullet more powerful or influence accuracy significantly when shooting in the field. Wind is a bigger issue, and calling it more important.
Leave those Timneys alone for the most part, in todays legal climate they are just the next lawsuit waiting to happen.