That would be the ridge.
To clear things up, going around the compass on Baldy...
5 Primary ridges on Baldy 10064 and West Baldy 9988
-North Ridge is North Backbone/North Devils Backbone/Other Devils Backbone, going from Baldy 10064 summit to Dawson, Pine, etc.
-East Ridge is (Normal) Devils Backbone. Connects 10064 with Harwood 9552.
-South Ridge of BALDY 10064 (not West Baldy 9988) is indeed the ridge in question in this thread. Ridge goes from summit at 10064, heads south, is the crest of Baldy Bowl and San Antonio Canyon (northern terminus) to the east, and Goode Canyon to the west. Ridge terminates in the vicinity of Manker Flat. LD has named the ridge "No-Name Ridge".
-South Ridge of WEST BALDY 9988 is the long ridge that the Bear Canyon/Creek trail heads up from the village. It begins down in Cattle and Cow Canyon, and terminates on the summit of West Baldy at 9988. Supposed to be the toughest hiking route on Baldy.
-Southwest Ridge of WEST BALDY 9988 is Bighorn Ridge. This is the toughest hiking route on Baldy. Or, the west ridge is... Joseph can chime in, as I've no interest in hiking up either.
-West Ridge of WEST BALDY 9988 is San Antonio Ridge, hiked with Iron Mountain. Toughest, or Bighorn is, etc.
So, from a "nitpicking" or purely logical perspective, the thread is about the south ridge of Baldy ("No-Name Ridge"), and the South Ridge that the Bear Creek Trail/Village Trail/etc is on, is actually up WEST Baldy.