Damage over time vs Burning damage

I'm building a fire witch with fireball + elemental proliferation.
I also have CI and next to the CI is the passive "Entropy"
It adds 27% increased damage over time.
Now my question is the following => does 27% more damage over time = 27% more burning damage?
Since burning is a DoT it would seem logical that it is, but it also seems too good to be true.

Can anyone explain this to me please?
Damage over Time is Damage over Time, yes :P
'Burn' is just a fancy name for Fire Damage over Time. That's all Burn is.
There is a difference between 'more' and 'increased'

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