>They don't inherently conflict. Emotions can be logical
This is a semantics issue. Parent means logical in the sense of the process of thought, analysis, etc. Not in "makes sense".
Given that, emotions can be reasonable, but not logical. I.e. they can be valid descriptions of the situation, but they are not themselves some kind of logical analysis or reasoning - they are just feelings.
(On the other hand, a logical analysis can produce emotions. I.e. logically determining "the oxygen in our cabin runs out in 2 hours" can produce panic. And the opposite: an emotion might get us to think / perform a logical analysis).