Brady has pretty much always been elite against the blitz. That has really never been a problem for him.
When the Giants won both Super Bowls, it wasn't that Brady was struggling against the blitz, but that the Giants were able to get pressure with pretty much their D-line and didn't need to send an extra body.
The Giants won because the Pats defense dropped the ball on both occasions. It wasn't so much due to how they handled Brady although you are correct on how they put pressure on him.