Do linear maps (linear mapping not as in linear throttle right?) stop wheelspin In first and second? No they don't. If launching off the lights is your thing then a powerful fwd car really isn't suitable for that.
But like you say, 30mph, 3rd gear, the car hooks up nicely. Now it's pretty clear which map out of the two from a rolling race will be quicker. The APR map has a much greater area under the curve.
Your grievances are simply from a traffic light duel, and at a low speed in a fwd car, the power difference usually makes no great impact on the 0-40 dash be it mapped or not in a fwd 2.0tfsi running the average summer tyres.
This can only bring it down to one conclusion, in which you need to drive to the conditions, and making use of the throttle pedal.