I think you're being deliberately obtuse and argumentative. I never mentioned personal time travel. The context is an article telling people not to bring work data with them when traveling for work/professional functions.
If you're traveling for work, and your company can't guarantee your safe and reasonably comfortable travel to that destination in a work capacity -- they should recommend you not go.
Agreed, they shouldn't be asking them to go in a work capacity. I misunderstood your objection as them not having a right to ask their employees to remove data before personal travel.
If you're traveling for work, and your company can't guarantee your safe and reasonably comfortable travel to that destination in a work capacity -- they should recommend you not go.