Cost center id shows incase of Allocation to G/L Account in the payment allocation or else, Profit center(Cash) derivation for journal entry will depend on applied Reporting Principle.
Note that, even though you assign the invoice directly in the bank statement creation, it's not the bank statement itself that clears the invoice, but a clearing document resulting from the payment allocation of that bank statement item. Therefore, the bank statement itself has no cost object (like Cost Center, Material, etc) and since there is no reference of base profit center, the line doesn't inherit the profit center for the bank statement journal entry or derived from default profit center.
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