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Only eleven words put H first and V third, and ten of them take E in the fourth box. The shape is almost fixed.
A takes the second box in four of the eleven, I and O in three each and E in one. No branch holds more than a handful.
What binds the page together is the fourth box. E fills it in ten of the eleven, ninety one percent, so every word except one runs consonant, vowel, V, E and then a final letter.
V is uncommon anywhere in English and it almost never lands third behind an H. What survives is a small set of short stems, HAVE, HIVE and HOVE, each taking two or three endings.
HAVOC is the one word here that breaks the E pattern, taking O in the fourth box instead. That makes it the single most informative guess on the page.
R closes three of the eleven, more than any other letter, with N and S on two each. Nothing repeats a letter, so a visible double rules the pattern out entirely.
It is worth considering. It is the only word here without E in the fourth box, so a hit or a miss both tell you a great deal in one turn.
Only in the last box. HAVES sits on the same stem, so the HAVE group is three words separated by one letter.
The rubber tree. It is the only word here with E in the second box and the only one ending in A.