With a 50% stake in the firm, do you have control over it? Remember, that’s the key between acquisition and equity method. If you are reporting it under the acquisition method you’re assuming that you have control, and thus control the dividend policy. Does it make sense to record something you pay back to yourself? No.
Although someone can correct me if I’m wrong - the minority interest is adjusted as if it were reported under the equity method. Meaning, if the minority interest owns 15% of X, then the minority interest account is adjusted by 15% of X’s income - 15% of the dividends issued.
Now, logically, does it make sense to issue a dividend if you have control over a firm? I’m not sure - my guess is that the parent company would want to keep the earnings in the hope of someday acquiring 100%.
Proportionate consolidation - I’m not completely sure the IFRS treatment. Under GAAP, proportionate consolidation = equity method and is treated as a return of capital.