Absence of evidence does not mean evidence of absence.
Absence of evidence is always evidence of absence, because that's how we detect absence - by the lack of evidence.
Trust me, there's no evidence whatsoever for the proposition that a herd of elephants is not stampeding through your living room besides the complete lack of evidence that they are.
Granted the idea of tea pots orbiting the sun or spaghetti monsters existing are as valid as God existing.
Right, but it's clearly nonsense to take the two positions - "there is a tea pot orbiting the Sun" and "there is not a tea pot orbiting the Sun" - and suggest that they are both equally supported by the lack of any evidence for tea pots in orbit of the Sun. (Well, I guess all the tea pots on Earth technically orbit the Sun, but you know what we mean.)
What about being able to see to the other side of the room unblocked by any elephants, and that the floor is still holding up, and that the room still smells like the candle from yesterday, and that you can still hear the TV from the other room.
All that stuff is an absence of evidence, though - the absence of evidence that elephants are obstructing your view of the room, absence of evidence that the floor is not intact, absence of evidence that the room smells like elephant shit, and so on.