However, IIRC, if the delivery people (or landlord, in your second example) choose to report to law enforcement anything criminal that they see in your home _of their own free will_ and without any prior arrangement with police, that evidence would be admissible and could be used to obtain a warrant.
It's not that much different from past cases where Best Buy technicians found illegal material on computers brought in to them for servicing and reported it to police and resulted in successful prosecutions.