What version do you have?
P600 (wifi only)
They have different chipsets and different root methods.
[e] I see you have found the correct version
if you want to get OTA updates you need to flash stock recovery so your device status is not custom. But it basically doesn't matter since you can always flash updates through odin. You may choose a custom recovery that offers you a lot of cool features instead.
Phone: Samsung Galaxy S III | Stock rooted
Tablet: Galaxy Note 10.1 2014 Edition Wifi | Stock rooted