Question About Jungle Item Passives

I was reading the passive for the jungle items the other day. The descriptions say that they deal magic damage per second for 2 seconds. It seemed like a really simple concept to understand, but something else came up. I read somewhere that the dot can't execute buffs to make it easier for you to give it to your laners. I was wondering if this JUST applied to the red/blue buff. Let's say you're attacking a large monster that isn't red or blue. Will the dot from the jg items execute the monster if it's low or will it leave it at 1 hp like red/blue? I know that cinderhulk leaves red/blue buff at 1 hp so you don't steal it when you're trying to distribute it. How does cinderhulk interact with other large monsters? Will it kill the monster or will it leave it at 1hp so you can "give it away" for whatever reason? I would like some clarification on this.