You are asserting that our sending money overseas makes us richer and increases our standard of living?
Why do you purchase anything? Because you value the good (or service) more than you value the money. Why does the seller take your money for their good? Because they value the money more.
Any voluntary transaction benefits both the buyer and the seller.
Is your standard of living improved by the coffee you drink in the morning before you go to work? Is that changed if the coffee is grown in another country?
Come on, basic microeconomics.