In this reddit thread, somebody is claiming that a private key can be used to derive two different public keys which share the same X coordinate.  i.e. the same private key can derive both an 02 key and an 03 key with the same X coord.

I was under the belief that was not true and that an 02 key is an entirely different key from an 03 key with the same X coordinate, and that a given private key will only ever correspond to either an 02 or an 03 public key.

Is my understanding mistaken?  Can a private key be associated with both a 02 and 03 key (that have the same X value)?

Edit:  Nevermind, it looks like he pointed me to where this was specified.  Thank goodness, I'm not going crazy.