I had missed this topic the first time round. A fascinating journey. Both amusing and horrifying.
It's far too late and many people have moved on, but anyone still agonising about what to call the snotty bit in egg whites that so many seem to hate can rest. It is the chalaza* (plural chalazae). It is also a useful indicator of freshness; if you can hardly see one in your whites, then your eggs are stale.'
* 'ch' pronounced 'k', 'la' pronounced 'lay'; stress on the second syllable.
IPA: (kəˈleɪzə)