I don’t normally count the number of cards I have left, but I have done both ends of the spectrum, drawing dead for four turns and turn two I’ve had two cards left.
I’m the type of person to opt for searching and/or plain draw instead of discarding my hand or shuffling the cards back, but that’s because I like older formats where there was more plain draw (and sometimes discarding or putting a card on the bottom of the deck, etc).
I, though it may be a bad idea, opt for still drawing some Night Marchers. I tend to opt for stilling have three (2 Joltik/1 Pumpkaboo or 1 Joltik/2 Pumpkaboo) because I don’t want to run out of optimal attackers.
I would rather have my opponent take all six prizes over me decking out. I prefer to prolong games as I may have a chance to win, unless it’s overwhelming odds against me.