My grandmother passed me her Remington Woodsmaster 740 recently, circa 1955. It runs quite well on factory ammunition, I don't reload 30-06 so I can't speak to that facet. I get 2 MOA out of it with Winchester CT ammo. I've yet to have it jam on me, but after detail stripping it, I can see how the gas system could be problematic as parts wear. However, my reference 740 has 50 years of hunting under its belt and is not badly worn.
Remington has sold over a million of the 740/742/7400/750 line of rifles, all essentially the same. Amazingly you hear little about them, either there are a lot of them sitting in closets or they aren't all bad.
It's worth mentioning that these are hunting rifles, not long range precision sniper rifles, or high volume battle rifles. The capability for rapid fire is there, but the rifle/barrel is not designed to handle it.
Just my somewhat objective view based on first hand experience.