IMHO: you're better of using a roll of kerlix and a ACE bandage, but if you really want to, I would prefer the Israeli-bandage.
As can be seen in the images that Jim linked, the wrap material used in the ETD (Israeli, or "Izzy") is significantly more robust than the thin gauze that is used in the Bloodstopper.
The ETD (emergency trauma dressing) can easily be installed one handed (i.e., on your opposite arm) whereas the Bloodstopper is not quite so easy. Obviously the benefits of the pressure bar that is used in the ETD is not something that the Bloodstopper offers.
Finally, it should be noted that the (6" version) of the ETD is also available with a second slidding gauze pad, making it very useful for a GSW or puncture where an exit wound also exists.
Jim