Left joint center modified, right default.

 

"That's the thing, I'm not entirely sure IF it will be a problem. But it feels completely off."

Dawn's hip rigging is indeed not ideal.

But this can be improved using the animateable joint centers. Unhide the hidden parameters and adjust the z- and y-offset for the thigh joint.

Mirror to the other side, then memorise and re-save Dawn.

As long as animateable joint centers are enabled in the clothing they will adjust themselves to the new rigging.