Could Snape's Patronus be a doe because -

Lilly loved James whose Patronus was a stag, therefore hers became a doe. Snape hid so well that he loved Lilly for so long, what if Snape's Patronus was a doe because he loved Harry, and his Patronus was a stag?

Lilly loved James whose Patronus was a stag, therefore hers became a doe. Snape hid that he loved Lilly for so long, what if Snape's Patronus was a doe because he loved Harry, whose Patronus was a stag?