On EDIT: Okay, just read the above posts and someone is trying to use mont a GXP rotor incorrectly.
Previous post: Honestly I have no idea what the issue is that you are having.
GXP Chainrings can only go on one way correctly and the eeWings copy exactly SRAM's clocking. It's correct for any oval chainring...
If you are trying to mount a chainring in the incorrect position, that's not their problem.
This is one of the few WW products that is all upside, with no downside except cost.
When you say “use mont a GXP rotor incorrectly,” I’ll assume you meant to say “use/mount a GXP chainring incorrectly.”
Assuming that’s the case, the answer is no. To your point, they only mount one way. And in the case of the eeWings, they mount 180 degrees “upside down” from the way they mount on a SRAM DM crankset. Most of the time the only issue might be covering up some branding/logo on the chainring (which will end up behind the crankarm). Big deal.
The bigger deal for me was:
1) unlike RF cinch, you can’t flip a ring to achieve opposite offset for different chain lines. Flipping round cinch rings works great, but honestly I have no idea what it would do to oval ring clicking. I never tried, and never would.
2) to rectify my bike’s need for a +3 - +4 mm positive offset (not the typical -3mm boost or -6mm traditional chainline), I ordered and installed a Wolftooth CAMO spider SRAM DM. This:
And it does not work with the eeWings. Because Cane Creek opted to make their SRAM DM bolt pattern 180 degrees opposite the way SRAM aligns theirs (ostensibly “the standard...?”) One of the CAMO ring bolts is behind the crankarm and causes the spider to bend. Which causes the chain to come off of your singlespeed when putting down power. Which causes your knee to slam into your stem. Ask me how I know.
I wish the eeWings had worked for me. I’d still be running them. Albeit, still being annoyed with the copper antisieze mess.