Isn’t the reason the Lutzes abandoned the house and their possessions is to make their story look more convincing?
That’s possible, but a short time after they left the house, they hired an auctioneer to auction off their belongings in the house. They were told (by either priests or parapsychologists) that it wouldn’t be healthy for them to retrieve their belongings from the house. They could have easily had people go to the house and retrieve their belongings rather than auction them off. Just because they fled the house suddenly didn’t mean they could never go back and retrieve their belongings.