How are they better? Both cards show a secular nature. "Season's Greetings" is quite generic. You were complaining that Christ has been taken out of the White House Christmas cards. And yet, the history of the cards shows a long-standing practice. Not just invented by the present President.
Puh-leeze. Sticking the Presidential seal and a generic (which is what started this foolishness in the first place) "Season's Greetings" on a card requires all the thoughtfulness and artistic talent of a chimpanzee.