A bit of confusion about Ashe

Ashe's artwork, lore and source seem to put her as an agile, mobile ranger. With frosty magical arrows and Queen status.

Her gameplay puts her as one of the slowest champions in the game with no way to speed herself up or get around, and even with T2 boots and a Phantom Dancer moves slower than some champions who just have boots.

I understand that she is balanced and in a healthy spot. But is this disconnect just because she is a very old champion and they don't want to change her? Because anybody who just played her in game would assume Ashe is a very slow, immobile person. When nothing thematically or in lore/art suggests so.

EDIT: Am I saying dash needs an Ashe?

Dialogue, artwork, cinematic and lore focuses on her being a ranger with precision. Many of these also suggest she can get around well. Which makes sense she leads hunting parties and expeditions into the Freljord with groups of her people.

Does that mean she should specifically have a dash?

No but it means the precision ranger style archer. Shouldn't be a slow moving machine gun turret of rapid fire.

She is as slow if not slower than Lux. A noble mage. And more of a machine gun than Jinx.