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Re:EFF, ACLU Sue Over Warrantless Phone, Laptop Searches at ... by tonyztan on Friday September 22, 2017 @01:57PM (#15314284)
The proposed "Protecting Data at the Border Act" makes the distinction between physical vs. digital examination that you mention.

https://www.congress.gov/115/bills/s823/BILLS-115s823is.pdf

Re:EFF, ACLU Sue Over Warrantless Phone, Laptop Searches at ... by ScottBurson on Friday September 22, 2017 @02:08PM (#15314378)
Aha, so it does! The corresponding House bill is HR 1899.