With third pair and good pot odds, we should treat the hand as a bluff-catcher and call, not rip it in against a strong betting range.
Checking range here is correct — this wet, high-card board with possible heart draws and straight draws favors the button, and with third pair and no draw our strategy is pure check rather than leading into their stronger, more condensed range.
Facing the stab, our hand is a classic bluff-catcher and should almost always just call; turning third pair into an all-in raise overplays a medium-strength hand into a range that’s already strong and willing to continue.
Note: Jamming over the flop bet with third pair and no draw is too aggressive; calling is mandatory and clearly higher EV.