If (in the course of essential sysadmin duties) I saw a file named "Basecamp Competitor Business Plan.pdf", or in fact any name, I wouldn't look at it because that would be wrong, no temptation.
Unfortunately, when around 1 in 3 sysadmins spy on their own colleagues (depending on whose report you read), it's apparent that not everyone has your moral fibre and something more than simply "trust the individual to do the job professionally" is called for.
Same here. There are countless sysadmins who would look though. Especially if they had a financial interest. There are even more who wouldn't look, but would just mention, "Guess what our 100 millionth file was named" to a Director, who also happened to have access.