How does the Cloud Drake buff work exactly?

For ease sake, let's say I got a Ult that has exactly 100 second CD. I have 40% CDR making it now 60 seconds. I also have the +5% from runes bringing it to 55 seconds. Now I have 5 Stacks on Ultimate Hunter giving me 25% more bringing it now to 30 seconds. And now hypothetically speaking I was able to get 4 Cloud Drakes getting 40% more. Does that just make the cool down on my Ult to 0 seconds?

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