I had an E32 with the same scenario. I was decent but for years I could never get it perfect. I could never get a bullet or get fixed heads to fly with FPs. I shimmed the cams and like magic is was perfect.This is not the first time I've set it up. I'm the original owner but have never been able to get it perfect. I've just gotten it fairly close and adjusted my sight further left than it should be to compensate. Hunting scenarios at 30 yards and in haven't been an issue. I've just sighted in for broadheads and called it good even though field tips weren't even close. Was always told "if they hit where you aim then who cares." This is the first time I've really put in the work to try and get the perfect tear. Even with the center shot set at recommended 13/16", I only see about 1.5" to 2" or so nock right tear. The bow hasn't been dropped on damaged in anyway that I'm aware of and lives in a hard case most of the time. There is no clicking or anything of that nature and no abnormal wear on string or cable serving that would indicate rubbing on an edge of the groove.
^^^^^^^^^^^What he said^^^^^^^^Every time I've had a situation like this it has been cam lean, bow grip torque, or fletching contact with the cables or rest (perhaps a badly timed drop away rest...cover your fletchings with red lipstick and then shoot into a target (not through paper) and see if you get smudges....or spray with foot powder). That Elite has old school binary cams, so I hope you can shim the cams to correct any lean. When you are getting bullet holes, you should be able to line the string up with the cams and cam grooves and have the arrow split down the middle by it (looking from behind) with you sight pin slightly to the left of the string (for a rightie). Is that the case?
If cam lean is severe, I don't see how any type of cable guard adjustment can do anything....the forces moving the cam to lean are massive and must be brought into a balance that will shoot for you.