My pet does not attack. Should it?

[Honeydew]

I've gotten the slime, the rabbit and the pumpkin but no matter what I do they don't attack enemies. Should they or do they just give me bonuses?

 

[garish gnome]

Pets are exclusively stat boosts.

 

[Cheynas]

Pets are exclusively stat boosts.

Right now at least... might change in the future, though unlikely.