In the epilogue, we don't know anything about Scorpius other than that he is Draco's son. His personality was not mentioned at all. In an interview Joanne Rowling 発言しました Scorpius was an "improvement on his father". This does not mean he does not have any of his father's personality traits, nor does it mean he's the nicest guy on the planet. We don't really have any canon proof of what Scorpius is like.
Since the book didn't really describe much of his personality, I guess it's really up to the author/artist's decision. Personally, I think he would be arrogant and kind of a jerk like his father, but I think he would have もっと見る compassion and not be so narrow minded. (At least, I think he would evolve into this personality through his interactions with Rose and other students at Hogwarts)
