Friday Night Minhag

A gentleman once asked my father: his father only wore a hat on Friday night, never at any other davening.  Was there a basis for that minhag?  My father passed it along to me, and I said:
תלמוד בבלי מסכת שבת דף קיט עמוד א
רבי חנינא מיעטף וקאי אפניא דמעלי שבתא, אמר: בואו ונצא לקראת שבת המלכה. רבי ינאי לביש מאניה מעלי שבת, ואמר: בואי כלה בואי כלה.
Rabi Chanina wrapped himself to greet the Shabbos Queen.  Rashi says he dressed in nice clothes, but ituf is wrapping your head, like with a Tallis.  I suggested the man's minhag to wear a hat on Friday night was to fulfill the ituf to greet the Shabbos queen.

Last week I was informed about the shita of Rav Pomeranchik z"l of Petach Tikva (sefer Emek Bracha) in which he says that an avel (mourner) who has an obligation of atifas yishmaelim should wear a hat during shiva to fulfill the ituf.  Clearly he says a hat is an ituf, like I suggested.