I’m w
@308pirate , unless you are walleyed as a fish, some small degree of turn and/or tilt is required as the bore line will never be perfectly under your on eye otherwise since the butt is offset from your head no matter how close in you put the stock.
In shotguns it’s very typical to turn your nose/head in toward the stock just a bit which rotates the on eye to that side some without having to roll over. But those guns are shot off hand and mounted across the body to some extent so not quite the same.
To facilitate this, many shotgun stocks have an adjustable comb that can move laterally as well as up and down. The lateral part seems less common in rifles but the KMW Loggerhead from Terry Cross offeres that functionality and I have one on a Rem 700 .308. And some stocks and chassis do offer laterally adjustable combs now.
I only mention shotguns as clay target shooters have been nuts about gun fit forever and it seems like a lot of these considerations have become widely applied to rifles more recently.
I shoot a J Allen chassis which goes up and down on the comb but no lateral. I find that in prone or bench, if I have my bipod high enough and keep the butt as close into my centerline as reasonable, that a little head turn/roll is still required but just a little. Not the way cocked head you see used as an example of improper mount.
anyway, that’s my story and I’m sticking to it. Lol