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Autotransformer center tap rating and efficiency

Given a 230/240V AC input to an autotransformer from a Multiplus, is the 32A limit on the center tap going to apply to any and all 120V AC output or only the unbalanced portion? If it's perfectly balanced, is the transformer not "doing" anything, despite creating the center tap?

What kind of efficiency could be expected given a balanced load (say 1800 watts on each leg) and unbalanced (1800 watts on one leg and the other unloaded)?

Autotransformer
2 |3000

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