The OP stated he got 3200 fps with a 150 grain bullet using a chronograph and I do not think he is exaggerating or lying about it.
And you could say my point is I had a Remington 760 Gamemaster pump in .270 Win and a Remington 700 in 30-06 and the pump could be loaded 5,000 psi hotter than the max rated 30-06 pressure. And I can tell you I have loaded my Remington 700 30-06 warmer than the manual with no ill effects. And see no reason doubt the OP velocity readings without any pressure signs.
What Affects Rifle Chamber Pressure and Critical Factors You Need to Know
https://www.rifleshootermag.com/editorial/critical-factors-affecting-rifle-chamber-pressure/83492
"When the same amount of pressure is exerted against 150-grain bullets in the .30-06 and .270 Win., velocity will be a bit higher for the .30-06 for two reasons. Its larger base diameter gives propellant gas a larger surface area to push against and a shorter bearing surface makes it a bit less resistant to being pushed down the bore of a barrel."
The photo below was posted at accurateshooter.com by someone else making a point about chamber pressure and the ability of the case to withstand pressure. This reloader said he increased the load until he got brass flow into the ejector and then backed off 1 or 2 grains. Meaning he tested the elastic limits of his cases and then reduced the load to ensure the brass would spring back after firing and withstand the pressure for that type action.
I'm not telling anyone to load above the manual, and all I'm saying is the 30-06 is underloaded due to all the older type 30-06 rifles still being used. And simply meaning the 30-06 is under loaded if you have a modern bolt action rifle.
That being said the average range a deer is shot in the woods of central Pennsylvania is 40 yards. So I down loaded my old 03-A3 30-06 to about 2400 to 2500 fps using a 170 grain 30-30 bullet.