"Name any President who hasn't."
Franklin Roosevelt.
James Roosevelt:
went on active duty as a captain in the United States Marine Corps in November 1940; promoted to colonel April 13, 1944, and served in the Pacific Theater; released from active duty in August 1945
Biographical Directory of the United States Congress
Elliot Roosevelt:
As an Army photo reconnaissance pilot he and the men in his unit also played a key role in the D-Day landings.
Eleanor Roosevelt National Historic Site
I'm having computer trouble at the moment, so have no details about FDR, Jr. or John Roosevelt, though I'm sure John served in WWII and I think that FDR, Jr., did as well. That would be all the Roosevelt sons who lived to adulthood.
The difference here is not money: the Roosevelt and Bush families are both wealthy. The difference here is that when FDR said "we", he meant "we" in the most fundamental sense. When Mr. Bush says "we", I keep hearing "you", because he doesn't get to participate in the suffering of those who pay for his policies except in soundbites for the consumption of the press.