So looking at the Ruger American and a few others I was wondering. What do you think Is the range or accuracy improvement in the bolt gun instead of the auto loader. The .223/556 version uses at mags and the 7.62x39 uses mini 30 mags. Can you expect longer range or more accuracy? I know some power is lost in cycling a bolt. Anyone done a side by side shoot?
Everything depends on the shooter first, and foremost.
That said, the parts in the rifle have a lot to do with it. A quality built semi-auto can shoot as well, as a quality built bolt gun in theory. In practice, however, the simplicity of the bolt gun, and often the ergonomics of them make them a better choice for accuracy. YOU control the action / bolt, so you can be more consistent. Consistency is the key to accuracy.
On average, and dollar for dollar, the bolt gun will win.
However...
NO... you cannot expect longer range. Not just because you have a bolt gun. The cartridge chosen, and the barrel it's shot from will determine that. For example, a bolt gun in .223 with a 16" barrel will fire the bullet slower than an AR with a 20" barrel, giving the edge to the AR as it will get a more complete powder burn. If you're shooting a short barreled AR, and a full size bolt gun, the bolt gun will give you the better velocity, and range. However, most people (if they're looking for long distance range) will buy/build a bolt gun with a barrel suited to the round, so it doesn't really matter. YOU pick your barrel length... in either.
NO... zero power is lost cycling the bolt. The gunpowder charge will give you pretty much the same velocity in either type of action, if the barrels are similar. What the action of a semi-auto CAN DO... is help to absorb recoil as it operates. With a bolt gun, the bolt does not move until YOU move it. It's locked into battery, and you won't be opening it with the barrel still pressurized, so all of the recoil will push back on the rifle itself... and not just the bolt, or bolt carrier group, and buffer spring.