If For Trademark violation, The owner must show that the defendant's use of a name or phrase

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Question:

If For Trademark violation, "The owner must show that the defendant's use of a name or phrase created a likelihood of confusion about the origin of the defendant goods or services." In Bartlett NH a restaurant called Margaritaville Links to an external site. Had to change its name to Margarita Grill because Jimmy Buffet's company (Buffet wrote a song named Margaritaville) contacted them and threaten a suit. Do you think Buffet would have won or lost if the restaurant had not changed its name to Margarita Grill?