The answer: Once you have everyone’s signed consent. The adjuster, as well as your homeowner, should approve of the items being taken and disposed of before they are moved off of the property where you found them.
I have a very strict policy on this rule. We use a form called “Disposal Authorization Form”that we list all destroyed items to be disposed of and have the homeowner sign off before these items are removed from the premises. We don’t even throw away a Q-Tip without a sign off.