You've chronoed this load? Very optimistic. My best 7 load, attenuated in the interest of accuracy and using RL22, shoots a 150 Game king out at 3200 fps and the gun is capable of 3300 with that bullet. Most ONE FIFTY grain .30-06 loads are below 3000 fps, though some factory stuff like Hornady's "light magnum" will push faster. They use a process, a drop tube thing, that's hard to duplicate and load REAL slow powder for the 06. A 165 at 3100 is a bit over the top, though. I might accept it possible for the light magnum Hornady load, but I'd wanna read the chronograph before I believed it.
I haven't worked with the .30-06, but it's not a magnum and I've seen a lot of test data on it over the years iin articles the writers of which used Ohlers for their numbers, not reloading data from a manufacturer.
A caveat, barrel length does make a difference. My 7 is a 24" tube, many are 26. Most 06's now days are 22". A longer tube will boost velocities. Remington could have been using a 26", even a 30" test barrel for those velocities. I'd come closer to believing them from a 26" or longer tube.