As mentioned earlier, low airspeed position error can be problematic, even in real planes. At higher AOA the resultant vector of airflow aligned with the pitot tube becomes less. For example, in my Supercub, during a low speed approach the airspeed actually goes off the low scale by a fair bit whilst in ground effect and a fair bit of power. At higher speeds it is quite accurate. This is also typically common in most aircraft. AOA indicators are the most accurate and becoming available for gen Av planes at a reasonable cost.
However your issue is one of groundspeed (GPS) vrs indicated or even true airspeed. The only time you could count on them being about the same would be at SL on an ISA day with no wind.
Regards: T