More like the other way ‘round. She was presented as Mystique (as an adult) and was utilizing “Raven Darkholme” as her shape moved (ordinary human appearance) cover whereas she worked in the government.
The X-Men comic books are nothing like the X-Men movies. Mystique did not walk around exposed (why ought to she when she can imitate clothing, other than the producers needed eye-candy), she was never Charles “sister,” never Magneto’s moll. And she carried a weapon since shape-shifting is a cautious capacity and she’s not stupid.
The X-films have not been kind to the female characters.