What do you intend to connote by saying someone is "rich," though? What does it signify?
If the definition of "rich" is "independently wealthy," that family certainly doesn't meet it. They still have to work for a living.
If it means you never have to worry about where the next meal is coming from or losing the roof over your head, sure, a lot of people are "rich." And maybe this is better than 90% of humanity does, but it's still not a reasonable first world standard for being "rich" IMHO.