Your truck has great power down low, I'm sure that's a blast anywhere. Do you ever launch with it in actual 4WD, instead of the A4WD? The automatic setting should produce a small feeling of tire spin for a moment before it grabs the front drive shaft.
I had that feeling with my stock 99 every day while delivering mail. With the right tires on dirt or grass, or packed gravel, typical ground where mail boxes are placed, I always made the right rear tire turn just a little as I left each box. With A4WD it was very brief, but it did take some dirt or material with the rear tire most of the time. I tried to be easy with the gas, but it's hard to for hundreds of times per day. With my AWD 302 truck, I have to mash it hard to make it turn both the right front tire and rear tire, and both have to be on loose ground. The AWD is definitely superior to automatic 4WD at the very start. As the power goes up, there will be more tire spin, and the open diff in front you hope becomes an issue(too much power, need more traction and/or a torque sensing diff).