I rotate tires every 3k miles (always have) so I didn't really have an issue with pulling due to that. But it does absolutely pull the wheel to dead center when you get on the throttle initially. It is kind of fun really, but if you drive regularly in the snow/ice it would get less fun. The last experience I had with both Aussies in snow was pulling the trailer from Oregon to Kentucky, snowed from Idaho all the way through Wyoming. At times there was 60-70 mph winds from the side and having front and rear lockers in 4x4 actually helped keep me going the direction I wanted. Pretty interesting though being on an ice covered road, tracking sideways for miles at a time with a trailer. Didn't bother me so much as it bothered my wife who was driving behind me!
Anyway I strongly considered a true-trac for the front of the F150 but I ended up with an E-locker to be easy on the CV joints, while having all the traction when I need it.
2006 F150 FX4 Super Crew - Bilstien 5100s leveled 2", 35" KM2s, 4.56 gears, Detroit locker, Eaton E-Locker, Traction Bars, AEM intake, Xcal 2
2010 VW Golf TDI 6MT