I am not sure that those aspects have been conclusively linked to precision. Barrel and ammunition quality seem to be the most significant issues- unless you are interested in minutia.
There’s several ways to improve on accuracy in a rifle:
Keep hot gases from entering the chamber from back pressure. A tight chamber with a very solid bolt lockup keeps the gas pressure more consistant.
Use consistant ammunition. Little deviations in charge can lead to different presssures and different velocities. Bullets exiting a barrel at different velocties leads to scattered groupings.
Use a quality barrel with a consistant crown. Usually, only the last few inches of barrel rifling are the determining factor of consistant spin. This is why there are guys that can shoot playing cards with a snub nosed revolver at 100yrds.
Shorter, fatter cartidges tend to have more consistant burns. The ideal burn chamber is a sphere…so the closer the cartridge design is to having equal length and equal width the better the burn rate.
There are a lot of little factors that determine accuracy. I’m not sure how a straight walled case effects accuracy. A higher number of bolt lugs would create more surface contact area in the chamber because a common assault rifle bolt can only rotate so far to turn closed inside the chamber. Most only have 3-5mm of contact surface per bolt. So, a 7-lug would have 3mm(x7) of contact surface, while a 4-lug would have 3mm(x4) of contact surface. This would lead to a tigher seal. The downside to more lugs is that they have to be thinner, so they are less durable then fewer lugs which can be thicker and more durable.