Winchester never got away from screwing into the recoil lug that I know of. Unless they did it with their XPR model. Which was a way to reduce costs, not make better bedding. The classics, last time I looked, still have the action screw going into the lug. The integral lug, IMO, is the real benefit. One drawback could be that the screw going into the lug might be a casue of stress, but in a properly bedded rifle, it should not be. That's a reason I also make sure the bedding is under the recoil lug.
@Frank Green,
I gotta wonder where you are coming from with the chrome lining? Yes, we all know it inhibits accuracy, but it was done in WWII to 1903's and M1 Garands to keep them from corroding and "rusting" the bullet to the chamber. The original M16 did not have chrome-lined chambers/bores and it suffered reliability for that reason. How far up the bores it went I do not know. But, yes, that was a government thing and it was a HUGE factor in making the M16 more reliable. It certainly didn't seem to hurt the accuracy of that rifle. ALL military rifles have it now. Or, some other kind of corrosion protection. The lining may or may not affect accuracy, but it is needed for reliability. Keep in mind, they are combat rifles, not benchrest rifles taken to combat.