Is it, "otherwise directed" vs. "directed otherwise"?

I've seen conflicting usage of the two phrases, and I wonder which one is grammatically correct and why?

Following are example sentence:

Do something unless directed otherwise.

Do something unless otherwise directed.

Solution 1:

I think in this case, "otherwise directed" has become a standard idiomatic construction--but both are acceptable.

Contrast this with:

Do something unless you are told otherwise.

Do something unless you are otherwise told.

Here, the former sentence still sounds okay, but the latter sentence sounds unnatural.