Different situation... but electronic media is covered under our (CBP’s) border search authority.
It is a tool, but most people know that if it is something we abuse... we will lose it fast. Regular travelers... I don’t think I’ve heard of a phone being searched. Possible terrorist ties, organized crime, or something along those lines... it is usually considered for obvious reasons.
That being said, it is required to put it on Airplane mode prior to a search, specifically because our authority does not extend to Cloud services. If there is a loaded page that gives Cloud info, it is fair game... judging you aren’t going to be able to look further than file names or thumbnails (unless the owner downloaded it previously). Not too knowledgeable on what the protocol would be for Cloud access, if we could even get it with a warrant.
Whether or not NJ views Cloud data as the same as what’s on the phone... no idea. I doubt it, due to the fact that the info isn’t located at a specific location. However, there are multiple people that I’ve seen have child porn on their phones due to What’sApp downloading attachments to the phone. Literally heard that excuse twice within a month. So, worrying about the Cloud isn’t as important as what people don’t notice is being downloaded on the phone, itself.
I've never had a cancelation, but a lot of 10+ day waits for something to ship. In fact the only things I have ever gotten from them in a timely manner were rcbs items back when they would have sick discounts on their stuff.