However, although Draco would be a successful Healer, and a considerably nicer person, he'd still be incredibly arrogant:
(Excerpt from my headcanon thoughts)
"And have you, er, ever failed, Draco?"
Draco stopped walking abruptly and wheeled around in the middle of the hospital to face Harry.
"I have NEVER failed to heal someone, Potter. Whether it be a simple hex to the Cruciatius curse, I can always find some way to fix it."
Harry later regretted asking him that question, because Draco did not talk for the rest of the journey.
And then Draco slips up when trying to heal Harry after a recent clash with escaped prisoners (accidentally burst Harry's stomach open) he gets sent to a newly built asylum where the Ministry dumps their most dangerous things. Soon, Draco finds something horrible inside the asylum and sends Potter and co to investigate.