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Only ten words start with IL, and three letters are all that ever follow.
E and I each take the third box in four of the ten and L takes two. Three letters appear there in total, which is as narrow as a third box gets.
ILEAC, ILEAL, ILEUM and ILEUS relate to the small intestine. ILIAC, ILIAL and ILIUM relate to the hip bone. That is most of the page in two medical clusters.
ILIAD is the one entry with any life outside a textbook, and even that is a proper name pressed into service as a common noun.
A takes the fourth box in five of the ten, fifty percent, and U takes three. Between them they cover almost the whole page.
So the fourth box is nearly as settled as the third. Everything comes down to the last letter, where seven different letters appear across ten words.
If your puzzle points at IL, read the ten entries and match them against whatever you have confirmed. There is no branch to narrow and no distribution worth using.
It is the only entry here with any general currency, so on most puzzles it is the one to try. The rest are medical terms.
The ileum is part of the small intestine and the ilium is part of the hip bone. They differ in a single box, which makes them the sharpest trap on the page.
The opposite of wealth, coined in the nineteenth century. It is one of two entries here that repeat a letter.