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Fifty three words put B first and L third, and thirteen of them repeat a letter. The second box never holds an ordinary consonant.
A takes sixteen words, E takes twelve, U takes nine, I takes eight and O takes seven. Y manages a single entry in BYLAW. Nothing else appears there across the whole fifty three.
Thirteen words carry a repeat and nearly all of them double the L. BALLS, BALLY, BELLE, BELLS, BELLY, BILLS, BILLY, BULLS and BULLY all do it, and most differ only in the last box.
S closes twenty of the fifty three, thirty eight percent, and Y another twelve. Between them they take thirty two of the page.
So the last box is the cheapest thing to test. Rule out both S and Y and what remains is small enough to read through, which is not true of the second box at any point.
It is the most common word here and it avoids the doubled L entirely, which matters because that branch is full of near duplicates.
Yes, it runs B, Y, L, A, W. The Y in the second box is the only one on the page, so guessing it either wins or eliminates one word.
Only in the last box, like most pairs here. BALKY and BALKS do the same, which is why the fifth letter decides so much of this page.