The reputation of your trainer would seem to be upheld!
Quote from the "Wheel brakes" section in the Boeing flight crew training manual.
"MAX is used when minimum stopping distance is required. Deceleration rate is less than that produced by full manual braking."
Can't verify the 150m bit but it would seem reasonable, the standard of pilot tech manuals is a bit shallower these days.
Landing autobrake positions (1,2,3 and MAX) command a rate of deceleration which are affected by other retardation devices, spoilers or reversers etc. But max manual is the physical maximum stopping capebility of the brakes and anti-skid working together provided your boots are big enough!
Think this logic applies to all of Mr Boeings products.
I understand, although can't find a reference to hand, that RTO is the same as max manual and pays no attention to the rate of deceleration.