CyanogenMod's custom ROM relationship with the original Moto X has been somewhat... tentative. First the general GSM and Verizon developer editions were given separate nightly builds, then came a unified ROM based on Motorola's Qualcomm S4-based phones, the Moto X and DROID Maxx. (Technically the DROID Mini and DROID Ultra, too, but there's no way to unlock the bootloaders on those.) Now all of the Moto X builds are being unified under a new download entry, codenamed "Ghost."
According to a CyanogenMod representative, the nightly ROMs under the "Ghost" codename should work with all of the available unlocked versions of the Moto X.