The problem with your idea is many fold:
1: You need to insure the communication channel in the host country is sufficient (not always the case)
2: The cost/time to pull all the relevant information back in a usable manner (so you spend at least a day to get all the pieces of what you need to do your work back, potentially more if the network speed sucks)
3: Drives up the cost to do business. (see reasons 1 and 2)
4: You need to insure the connection back to home base is not compromised/tracked (one reason why physical media for some very sensitive information is still used)
5: The biggest reason, almost EVERYONE has some blending of personal and business elements on the same device (some more than others).. even doing things like "synching/backup your personal phone to your laptop while traveling" means your private life is present.
6: In most cases, they take the machines "in the back" so you don't know what is actually being done to it.. (I've had two of these searches done, and in both cases since I'm a security forensics person, I can check the "Footprints" and in most cases, they have duped the entire HD's (I can see last physical access) and left snoopware on the laptops.. which means you would be bringing a compromised / Trojan horse back to home base with snoopware.. (can someone say lawsuit?)
So yes, I am not a fan.. because none of these laws take HUMANS into account (devious, easily compromised, greedy bas**rds they are)