I've carried Rem 700s for years. I still own 4: 375 H&H Mag, 7mm Rem Mag, 6.5x55 Swede and 54 ML. All have the factory triggers. I've tried every way I can imagine to make one discharge improperly and have never been able to make it happen. My brother also shoot a Rem 700 in 7mm Mag as did my late father. My father also had a Rem 700 in .243 that he used for years for pronghorn. My niece now owns the rifle. Not one of them has ever had a discharge issue.
Not saying it doesn't happen but after more than 40 years of carrying Rem 700s I don't personally know anyone that has had one discharge. I'll keep mine just the way they are but admit I mostly carry a CZ 550 in 9.3x62 these days.