And your exact comments are what still concerns me, and as this one was bought new in December, I would think it may have production mods performed as a later build.
As I am not sure of things, all I can tell is on the second outing it was much more tolerable to shoot(no bruises) with the butt pad and the brake installed, yet it would still hop off target sitting on the bi-pod, so must re-acquire sight picture. Still slinging out the steel case for quite a distance!
I am not sure if fast action can/ will also over ride the stop on last round, yet same principles apply.
Gas block seating? I am not exactly sure how to test it. I had read something about using compressed air to flow ck, yet I have no ref on this.
Not dirty, it is new! I looked at it after first 40 with a buddy that knows about this stuff, bolt was clean, add comments about cheap being dirty, wiped things, sprayed cleaner in the bore and chamber, let sit a sec, then pushed some CLP in the bore and ran snake through twice, reassembled. Bolt still well greased and oiled.
I guess I could allways knock off the gas block just to look at things if I had measures, but I would need educated on proper alignment upon reassembly.
Will set baseline with the Rem ammo, should not take 40 to find out!
I would find other suggestions of buffer/ springs of interest if need be.
Okay, I can give hints and helps!
1. The rifle will ALWAYS jump off the sight picture, unless you weigh it down a metric ton or so. The AR recoils in BOTH directions, every shot. A kick back, followed by a slam forward. Much more noticeable on the 308 than the 223, especially with a carbine style rifle weighing in under 9lb.
We have a 24" barreled rifle (Tims', not mine) and it weighs in at a svelte 14.5lb. Barrel is 1" diameter, fore grip is extra heavy, the A2 stock has weight in it, and the bipod is very heavy for what it is. This one hardly moves when you shoot it. The gas block is adjustable, and the recoil spring was chosen for the softest one that would function the rifle. His wife likes to shoot it because it does not get 'upset' as she put it.
When the rifle is operating- it moves about 4 times as fast as you can humanly pull the trigger a second time. If the 308AR were a full auto rifle, it would easily cycle in the 400-500 rounds/ minute range without breaking a sweat. No human outruns the bullet, on either side of the bullet!!
Yes indeed, when the bolt is moving that fast, it can easily blow right past the magazine follower and not stop on the last round hold open. That is in fact a good indicator that the bolt is moving very fast, and more importantly, there is not enough
DWELL TIME. Dwell time is where the bolt is basically stopped for a nanosecond at the peak of the recoil before it starts pushing forward.
Your gas block is set correctly..... the rifle was functioning well. That tells you the story. An easy way to see if the block is offset is to take an air nozzle and a cotton ball.
Open the rifle up.
Lightly oil the cotton ball and stuff it into the chamber.
Air nozzle goes onto the gas tube. Lightly blow air into the tube, no need to blast it. 5-10psi is plenty. Feel the air at the front of the barrel. If you have very, very little air? The gas block might be offset, or the gas port might have a blockage. If so...... crank the air up to 60 and see what you get. You will not hurt the rifle.
An easy way to tell if the gas block is leaking and letting out excessive pressure (venting) is to spray soapy water on the gas block while doing the air nozzle job with relatively low pressure. Should not see much in the way of bubbles, at 60psi. If the leakage is really bad, you will see powder dust all over the gas block and the port where the gas tube enters the gas block.
It should be noted that a little gas venting is not bad. The rifle will expand and seal things as the barrel gets heated up and the gas tube will seal with the pressures created from firing. 60psi is nothing compared to the pressure developed by the powder being burned in the chamber.
Rifle is clean, I believe you. Saying 'Filthy rifle' is only a reference point. People seem to like to shoot 10K rounds thru their rifle without cleaning..... just to prove it can get dirty.

Some relish in dusting them out, or dropping them in mud, etc.
If the rifle performs well with the brake removed still, then the easy and cheap modification is to start by adding weight into the buffer tube and try the rifle with the brake installed. The buffer has weights inside it. Add some more weight, and keep track of what you have added, so you can always go right back to stock as a reference point.