Ahh, i remember how my older brother locked down my internet access after midnight on behalf of my parents, boasting about having set up a MAC-address whitelist in the router some 15 years ago.
About a week later or so he proceeded to play Battlefield 3 on his early Samsung smartphone all night during summer holidays.
In a way it is paid/unpaid either way.
At the end of the day, the time you spend "for" work includes your transit to and from work as well as the breaks that you take without being able to really do your thing.
You have to calculate that time against your pay. This is also why working from home shouldn't be something companies have any doubt about. Taking away the commute time maintains the time you can be productive for the company, while notably shorting your total time spent "for" work.