Santa has a list, he checks it twice, he has slave labour making toys all year round, he decides if a child is naughty or nice based no doubt on his own internal morals then he personally sees to delivering a gift to every child in every house in the world who has been good (and who's parents believe in him) being sure not to miss any out. Now that is a Jay.
Easter Bunny has some chocolates to randomly give out to whoever can find them and enjoys hiding them in gardens to add some excitement for the hunters. He's a total Se dom with not a skerrick of Jay in 'im.
Santa is all about efficiency and fairness. The Easter Bunny is all about fun.