I really dont know if i believe in this.
But as you might know William Blake has made painting called a brace of partridge.
We have also seen a lot of pidgeons in the last episodes. The painting is two dead birds.

painting: http://www.1st-art-gallery.com/William-Blake/A-Brace-Of-Partridge.html

I might be wrong, but its a weird coincidence, if it doesnt have anything to do with Red John.

I know partridge might be dead, and i also think it would be weird if he isn't.