I really think the biggest problem we have comes from supervisors and people who have the right connections and are head of departments (I work in government) or for whatever reason don't seem to have to worry about being talked to for what they do on the internet. Sure, there are some ordinary workers who abuse the internet (I don't know where they find the time) but every time I check my email it is packed with junk from people who don't seem to worry (or don't have to worry) about all of the garbage they are emailing to everybody else.
The most time I spend on the internet at work is when I check my email. I try to check it as soon as I can early in the morning before it gets busy. A lot of the communication around here nowadays is done by email. Especially when I return from my days off I try to go through my email as soon as possible. I have to wade through a pile of stuff, much of it unnecessary, and some of it frankly endangering everybody because of the possibility of malware in all of this garbage pulled off of the internet. I wonder all the time why the people sending all of this worthless stuff don't get into trouble-I would be in trouble for spending junk like that. Somebody would come along and ask me if I have a lot of spare time on my hands. But in government if you have the right connections or the right position or know the right people you don't have to worry.
Even on my home computer I avoid dangerous websites as much as possible and try to be safe. At work I simply don't have time (unless it is a very slow day) to be on the internet. Now if it is slow and as long as I am not doing anything wrong what harm is there to be on the internet? Occasionally I will check out my personal email, if the weather is bad check weather forecasts, and I have even visited bobistheoilguy.com from work. I am probably one of the least offenders at work, at least compared to what these other people do.
But now that they have sent out their little memo (well, actually big, BIG memo), I will probably stick to my email which they have to allow us since they send a lot of their communication through email nowadays. If they decide to go after somebody they can use any excuse.