OP has already purchased their cameras, it would seem.
Originally Posted by
peterh337
The Sony X3000 is no good because the optical stabilisation can't deal with the vibration spectrum; it is probably fine on a helmet.
I run the Sony FDR-X3000 on a helmet mount, and the stabilization is indeed very smooth.* Battery life is only about 60-70 min(GPS on, no Wi-Fi or BT). I'm only running it @ 1080P 60fps (50M) due to card and PC limitations for now.
I skipped the X1000 due to multiple reviews mentioning overheating, but it was otherwise an attractive option at the time.
* The best stabilization action camera I'm running is the Xiaomi Mi Sphere with a 6-axis EIS. But it's not nearly as sharp or detailed as the Sony FDR-X3000, nor may it match its low light capture and color.