A "yule log" is NOT the same as a caga tio, or "pooping log" (which actually only "poops" sweets and candies and the like). At ALL. Yule log is a very different tradition (different like WHOA) which comes to us from a vastly different region.

You can't call a caga tio a "yule log", because then you're calling it something it's not. At least call it what they call it in the original Catalan, with or without the accent marks (which I can't really do on this computer, unfortunately :\ ).