99% of the time the proper hookset is based on the tug. Only a few select Big Fish don't follow these rules. I haven't tried fishing for the Castaway Chocobo Chick so I can't help you there.

If it's a tiny tug that barely moves the pole tip then you use Precision Hookset.

If it's a big tug that has a noticable pull and sound effect then you use Powerful hookset.

if you're using a PS4 controller then it's extremely easy to tell them apart, as a Precision tug is one vibration and a Powerful tug is 2 or 3 Vibrations.