Here is why I say no. To put a blanket statement on one form of murder and consider it now a hate crime would diminish the purpose of calling some crimes hate crimes. Example: One hangs someone because they are black. Hate crime. But if one kills someone to take their money and does so by hanging. Not a hate crime. Both are murder. Both deserve severe penalties. But both are not “Hate Crimes.”
Philosophically I would argue that you could not commit any murder without it being motivated somewhat by hate. But I digress.