Thinking about it, during landing I never have to do much to keep straight in a crosswind after the autobrake cuts in, but I do have to work the rudder/NWS to keep straight during a crosswind take-off.
Hi Uplinker,
The effect you have noticed is due to more weight on the wheels because of the ground spoilers. During take off, the wing develops more lift for a given speed than the landing wing (with ground spoilers deployed) and the tyres tend to slip more in a cross wind. As they slip, you will have to "fly" more upwind with a bigger heading change.
The note about "ensuring a straight roll out" is due to equal braking effort on all wheels until one or more tyres start to slip.
So maybe the IRS, although I cannot find whether the autobrake is unavailable if all IRSs have failed.
Autobrake and antiskid need a ground speed reference to work (from IRS).