Laser bore sighters, the kind that fit in the chamber, seem to be pretty accurate with respect to the bore. The problem is, the point of impact is always higher than the bore sight, and there is parallax between the scope and the point of impact at distances less than 100 yards.
The usual rules apply when bore sighting - support the stock, not the barrel, and keep a good cheek weld and the butt tight in the pocket.
The long and short is, use the laser sighter to get on paper at 20 yards or so (impact will be about 8" higher), tune it up at 20, then move out to 100 yards or more. A small error at 20 yards, parallax or otherwise, amounts to a big error at longer range. A small error at 100 yards amounts to a small error at 20 yards or 200 yards.