I have my AT&T Galaxy S4 (SGH-I337) simply rooted, no custom ROMs or anything. I don't recall the method I used for rooting. Root checker confirms device is rooted. It's on Android 4.2.2. It initially showed the custom unlock icon during bootup and device status was "custom". I followed the directions from a forum and installed SuperSU which updated the SuperSU binary and now the unlock icon is gone. Device status shows "official". I was unsure of my binary flash counter since it did not show in the download mode. I purchased and installed Triangle Away, and it shows binary flash counter is 0, binary is official, system is official, so I did not run the "Reset Flash Counter". Download Mode also shows custom binary download: none current binary: Samsung official.
So now my question is can I get an OTA update in this state? I have checked for updates and there are none. Do I need to unroot to get an OTA? My wife's Galaxy s3 was also rooted, yet it got an OTA update to android 4.3 just last week while rooted. If I need to unroot my S4, what is the safest way, given the status of my device?
Thanks for your help!