She never acted like a science-oriented person.
Are all science-oriented people supposed to behave the same? I find that statement strange.
Anyway Dax as scientist was used sometimes. Not really during the Dominion War or every episode she was in.
Some examples though
Emissary: Discovers the Bajoran wormhole.
Shadowplay: The whole village and people are holograms
Rivals: The laws of probability have changed!!!
Playing God: I discovered a universe.
The Quickening: Helping Bashir with the virus.
Rejoined: Helping with the artificial wormhole thing
Children of Time: Wants to investigate the planet.