I found a very old Molly O'Neill NYT Magazine article on the chicken soups of NYC titled "It Cures What Ails" that I had tucked away in a cookbook. One of the chicken soup recipes is from Curtis Sliwa's 76 year old Aunt Mary (who is Italian) called Aunt Mary's Penicillin. It states "the soup's curative powers are released only when the vegetables (carrot, celery and garlic clove) are mashed together in the bowl".
There is a matzoh recipe called Carol Wolk's Matzoh Balls which won the Stage Deli's first Matzoh Bowl contest in 1988:
8 cups basic chicken broth
1 1/4 cup matzoh meal
5 large eggs
1 3/4 Tblspn salt
1 Tblspn Russian Vodka
2 Tblspn club soda
1 Tblspn chicken broth
4 Tbspn vegetable oil
Heat the chicken broth in a deep pot. Meanwhile, combine the matzoh and eggs. Add the salt, vodka, club soda, chicken broth and vegetable oil. Mix well. Put in freezer for 45 minutes.
Using 2 tablespoons, form matzoh balls about 2 inches in diameter. When broth is hot but not boiling, use a slotted spoon to place each ball into the soup. Cover the pot and cook for 40 minutes and serve. Makes 18 large matzoh balls.
I've made this and it turned out well.
The article talked about the other immigrant groups in NYC and how they make chicken soup. The Greeks add lemon, the Chinese add vinegar and chili peppers, Southeast Asians, ginger and beef. The Brazilians like a broth that is a clear, deep gold. Some people feel you should add the chicken feet for an awesome broth, others recommend adding a turkey wing or extra chicken wings/thighs for a rich flavor.