It’s disrespectful to the people who don’t have much to flaunt your wealth,” said Monica Dioda Hagedorn, 40, a lawyer in Atlanta who is married to an heir of the Scotts Miracle-Gro fortune. “I have plenty of dresses to last me 10 years.” Ms. Hagedorn said she did not hold herself apart from the rest of society because of her money. “Everyone’s going to pull through together or everyone’s going to sink together,” she said.