I had a look at the Statuettes and found that they could be useful as an escape. They all have a Spirit Resistance of 100 and the Spider has a Poison Resistance of 100 as well. I know nothing about the Beetle Statuette though. Also, using the Spider Statuette near the start of the game will probably make you stronger than most monsters, making it very useful for those hard to kill enemies.
Nothing spectacular, but I reckon that those Statuettes must have some sort of benefit. I know of the Frog's speed and the Spider's alignment, but what of the Cat and Beetle?