That makes sense. I guess high HRV is not to be confused with arrhythmia or tachycardia.
Indeed, HRV doesn't have anything to do with your heart rate (as in beats per minute). You can have a heart rate of 60bpm and low HRV, or have high HRV and still have a heart rate of 60bpm.
HRV is the measure of the (ir)regularity of the beats. So a very low HRV would mean those 60bpm might be very close to being bang on a second apart.
Higher HRV would mean the gaps between beats are less regular: 980ms, 1s, 1020ms, 950ms, 1030ms, etc.
My Garmin Forerunner 920xt measures HRV to determine how well I've recovered from previous activities. It monitors the HRV for the first 6 minutes of an activity and then gives me a rating (GOOD, FAIR and probably others but I've never had anything lower than FAIR). The only time I've had anything other than GOOD was when I went for a run the day after a 180km cycle ride. Not sure if it continues to monitor HRV, I need to dig into the .fit file format to see if it's recorded in there somehow.