Woman vote here for the reasons mentioned--lady has the same connotation as gentleman.

When people use lady, I'll turn around and use the word gentleman. Except to the southerner I worked with, that usually causes a few looks.

But more so, I'm known for eliminating gender, just as I eliminate race in initial descriptions. Drives people nuts, but, if you're referring to a persons work or actions, gender and race are not relevant.

But, related, do you cringe or accept the current usage of "guy" as a gender neutral address?