Question: is there any merit to attempting to mystify transactions by increasing the number of outputs?

If I use an input of $300, and pay a $40.98 bill, I could have two $40.98 outputs, and my remaining change can also be split into two outputs too.

My theory is that it is harder to detect which output is a payment or change, and unless I am wrong, outputs don't require signatures so the transaction size cost should be minimal?

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