Traditional is either no meat or mutton....but as I say that was a long time ago. I too make mine with pork (occasionally chicken for those who don’t eat pork)
I do not remember ever having the not meat version. I could see the mutton, but they are not raising as much mutton as they used to. More beef these days. I’m from Texas but visited relatives in NM as early as 6 or 7 y/o...
Just worked a project in Artesia about a year plus ago...