If you were Dave would you stick around when Cody obviously doesn't need your help, or would you go find something to eat?
Uhhh, I'd be getting water and/or making some signal devices (often at the same time because the shore of creek/lake/pond is a great place to prepare signal fires and stamp out or otherwise improvise large distress symbols).
I'd feel really stupid if I were out trying to take a turkey with a homemade arrow or chasing porcupines with a club when that search plane flew over for the one and only time.
HOWEVER-- apparently-- hunting animals (which are obviously staged by the producers) sells more advertising to the uneducated than practicing real survival priorities.