Why does a load shoot two separate goups??

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I have read and found by personal experience that wetter/tighter patches shoot higher. Looser/dryer patches shoot lower.
Atmospheric pressure changes can cause groups to shift up and down. High pressure causes groups to go up and low pressure causes groups to shift down.

Need to take a hydrometer with you to the range and watch it carefully between shots.

Grouping right and left is caused by the deviation from shooting right or left of true north. Need to take a compass with you and adjust your target so it faces exactly true north to get your shots centered on the target..
 
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While @FishDFly's suggestions won't stand up to critical thinking, some of the other suggestions may gave some merit.

Lead, being non magnetic is not effected by the earth's magnetic field.

Air pressure changes far too slowly to justify needing a barometer to read and make sighting adjustments.

Relative humidity may be responsible for fouling build up, but fouling in the bore can be mitigated by loading procedures. The dampness of the patch will have more effect than relative atmospheric pressure.

@Steel Guitar, you need to ensure all the conditions for each shot are consistent. This means all the components, powder charge, propellant, projectile, lubricant, sight picture and hold. Avoid prelubricated patches.

Do you have cataracts? Floaters?
Do you have minor issues seeing the sights?
Have you put a diopter (peep hole) on your shooting glasses to improve the sight picture?
 
Since this two group phenomenon is happening with more than one rifle, we need to put aside issues with rifles and look at procedures. What are the procedures that Steel Guitar is following between shots. Is he using prelubricated patches that have deteriorated during storage? The result of having two distinct groups rule out most of the situations that open up groups. Deteriorating patches normally result in a pattern. Weight variations would have a vertical line of impact. Are there two different thickness of patching that is in use that Steel Guitar is using for several different rifles? What's common between those instances where several rifles shoot into two groups? What variations in shooting procedure occur when the two groups are observed? Is there a clump of

Steel Guitar needs to set up his shooting table so that every shot is being shot using identical procedures and components.
Marking the range rod.
 
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