Is it only children who get empowered? This will have a much greater effect than if it's random people of all ages. Random*
powered children, with normal parents, I will expect to become bullies/villains, because unless their powers are Blessed with Suck
, it will be exceedingly difficult for their parents to discipline/punish them. Random adults suddenly gaining powers will be affected more by their life to date, than by their sudden powers.
What I do expect is that, if powers started appearing in 1900, then by the 1960's the empowered families should be fairly well-off - wealthier, more powerful, because they have an extra edge from their powers that would have helped them weather events like WW1
, the Great Depression, etc. How much wealthier/powerful depends on how open they can be when using their powers.