Murdering someone because they're black or foreign has nothing to do with murdering someone because they're rich. Being rich isn't "being different", nobody was born rich and you can give away your wealth while you can never give away the color of your skin or your birth country.

Being rich means having despotic power over an increasing number of people as your wealth grows. Challenging this undemocratic power, even to the point of threatening rich people with murder, has nothing to do with racism. Lynching isn't the correct word in this particular case.