What exactly do you want to say with this? Are you comparing prevention of stealing intellectual property with taking a shit?
The last corporate IT job I had, they expected me to use my personal cell phone for job-related tasks. No, I didn't want their malware running on my phone, nor did I want to upgrade to an expensive cellular data plan for the required connectivity. If they wanted me to have a phone for their business, they should provide one.
Management and HR were quite upset. I suggested they check the state Labor Board. Shortly after, I was given a purchase authorization to buy a company phone and service.
Also, if this is a legit concern, you may have a hiring problem (or you work for .gov or on .gov contracts exclusively.)