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If I understood correctly, what you meant by low varentropy is high varentropy, and what you meant by high varentropy is low varentropy
For example, a low varentropy low entropy is a concentrated but evenly spreaded out distribution, e.g., p = [0.5, 0.5, 0, 0, ...]. It make sense to do branching here, though the quadrant says argmax.
In comparison, a high varentropy low entropy is a distribution with heavy long tail, e.g. p = [0.75, 0.001, 0.001, ...]. It seems like we should do argmax here, but the qaudrant plot says branching?
Can you check if you mixed up them?
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