Where does it say "not for outdoor use"? A socket is a socket, if this is what you need buy it, I would suggest buying a can of Rustoleum and spraying it dark brown, not only to blend but stop it from rusting.

A socket is a socket

I'm concerned about shorting out from rain/insects. in the Q&A section, there were comments about not for outdoor use. I sent an email to the SATCO asking about outdoor use. We'll see if they even respond.

put a little silicon, insects dont short fixtures out, and the likely hood of water getting in there to short it out is about 1% just sayin. Satco will be legally obligated to tell you it is not wet rated.

This product is unsafe in outside applications. Period!

How about this approach?

Relocate the existing fixture to the roof sheathing board shown just below the roof edge at the gable end.

By design the fixture is designed for outdoor use and also does not require mounting UNDER the eaves.