Who said about sending gyro signal through NMEA?
AFAIK APs read an analogue signal, 2.5v +/- 2v approx, from gyro
sensor,
single axis.
In my schematic I used a digital gyro
sensor, not an analogue one, because I haven't an analogue one. The Arduino board is used to read the digital information and translate it in analogue.
I used the DAC converter for better results but I think could
work even without, through a PWM output pin.
Regarding the speed, Arduino is much faster that needed so no lag.
The main advantage when use a digital sensor with Arduino is you can make adjustments for sensitivity and so on, to obtain the best results. Of course, you can do that only on field, by trial and error.
An analogue gyro sensor is much simpler but you can use it just like it is, no adjustments available.