Did those 44+/- have similar search histories on children dying in cars and the 'benefit' of offing your kids and visit the car and walk away and drive 5 or 6 minutes with a strong odor from their child's cooked corpse in the car? Circumstantial? Yep. Irrelevant? Nope.
as sick and twisted as this whole affair is maybe there is it is up to the prosecution to prove guilt, the defense is not suppose to prove innocence