OK. I guess that sentence could have been more clear. Let me be excruciatingly clear

:
I have three Savage rifles with detachable magazines-- a BTVS .22 LR, a 10 PC .223 and a 10 TR .308.
Both the .223 and the .308 occasionally have issues with failure to feed (FTF), almost always with the last round from the magazine. Both rifles require you to pull the bolt all the way back in order for the bolt face to catch the upper edge of the case head to strip the cartridge from the magazine. When the bolt is in the open position, the lugs are very loose in the raceways and the bolt handle has a lot of 'wiggle' to it.
The issue seems to be that the bolt is loose enough in the action, when the bolt is all the way back, that it's possible for the bolt to ride over the cartridge without stripping it from the magazine. This seems to happen most often if the bolt is closed by simply pushing it straight forward, or applying any amount of downward pressure on it. It almost never happens when the bolt is closed by pushing the bolt handle forward with the heel of the palm, while also putting a bit of upward pressure on it. I *think* this is because putting a bit of upward pressure on the bolt handle moves the face of the bolt down enough to make sure it catches the edge of the case head. I also assume that the issue tends to happen on the last cartridge in the magazine because the lower spring tension causes the last cartridge to sit just a tiny bit lower in the lips of the magazine.
I'm 100% certain that this isn't an issue with the magazine itself, because I've recently put the 10 TR into an MDT TAC21 chassis with an AICS magazine and have the same problem.
EDIT:
PS: AFAIK feed issues with Savages aren't at all
unknown. I'm just discussing what I think might be the source of my particular problem, having taken the rifle to Savage's approved smith in Ontario for warranty service and watching their guys cycle through a full magazine five or six times with no feed issues.