A well-bedded wood stock can deliver as least as good of accuracy as a poorly fitting generic synthetic stock. On the other hand, most people don't want to put the time and energy into bedding wood stocks so that they will deliver good hunting accuracy.
I would submit, as good as the most expensive and well fitted, synthetic stocks.
A rifle action has no clue as to the material in which it's situated.
A correctly bedded wood stock- and I mean correctly, which is not just throwing epoxy in a few places and torquing down screws- will deliver the same end result (if not better) than a precisely machined CNC chassis system.
PLENTY of benchrest competition shooters use laminated wood stocks.
With epoxy bedding and pillars, there's no dimensional changes- and therefore no variations in torque values and stock fitment. You simply cannot achieve a more precise, zero-movement fit of receiver to stock than a mirror-image epoxy "mold". At the end of the day, all that matters is that the action is stress-free (not being "warped" by action screw torque), and does not move in the stock under recoil. Whether that's in wood, composite, or aluminum is irrelevant.
Fact is, despite the precision of CNC inletting many shooters (including those at the highest levels) still mill out $1K stocks and epoxy bed the actions.