Yeah. She would have probably looked exactly like this if she had never been taken from the Tohsaka household to be adopted into the rotten Matou family.
Not exactly. She's always horny because of the side-effect of the Crest Worms. If she were a slut she wouldn't acted somehow shyly with Shirou at the H-scenes Anyways, if Sakura remains a Tohsaka then I doubt she would became a "slut." If her eyes still reflect that it's only the artists' mistake.