funny how grammar's s'posed to be descriptive until we stray into the area of PC, at which point usage gets diktated by.... hang on, why is there this disingenuous blithe pseudo-assumption that we all agree that gender difference descriptions are a Bad Thing....let's have a debate, and we'll invite people who've studied this stuff for a while....lobsters...herumph...

"Me either" makes as much sense as "I could care less", I think both are dull-brained mistakes, possibly originally by a non-native English speaker, then subsequently accepted as good English. "Me neither" is rough, but at least logical: "nor I, either" just isn't heard these days, but "neither am/have I" is commonly heard and logical. Grammar: descriptive rather than prescriptive, but some howlers ought to be laughed out of court.

"Me either" makes as much sense as "I could care less", I think both are dull-brained mistakes, possibly originally by a non-native English speaker, then subsequently accepted as good English. "Me neither" is rough, but at least logical: "nor I, either" just isn't heard these days, but "neither am/have I" is commonly heard and logical. Grammar: descriptive rather than prescriptive, but some howlers ought to be laughed out of court.