Slay or Capture a MONSTER > what would be the best?

i just recently learned to a capture monster:
i have two questions

1. what is the difference and are there any benefits?

2. can you give a quick list on what falls under the PIT FALL and Shock Trap for better memorization.

When you kill a monster, the reward is based off what you have broken on the monster e.g hermituar shell, claws. and several other factors like the modifiers you had from cats etc. Capturing give mostly better rewards where killing a monster is involved.

A reverse list

Immune to pitfall
Bulldrome, velocdrome, gendrome, giadrome, Iodrome, Yian garuga, All crabs, All Ancient dragons including kirin. Akamu.

Immune to shocktrap
Gypceros, all ancient dragon including kirin, akamu.

Not confirmed
Blangongo->pitfall, rajang to pitfall.