Some members are reluctant to click the remember me checkbox for some reason. I think it has to do with their perception of privacy issues.
I too am REALLY concerned about privacy and I surf the Net with caution. But clicking the 'remember me' button does on our board does not compromise any member's privacy in any way - It just allows our board to know to keep you logged in until, YOU the user choose to loggout. When I surf our board from my own safe computer, I almost NEVER log off.
That whole system was designed to protect the member from other people logging in to their accounts and changing settings etc. But for most users that probably is not an issue.
When I use someone else's computer to check our board EVEN THEN I click the remember me checkbox. But I do make sure to click the Log OUT button when I'm done....and in the 7 years or so since I've been doing this, I've never once had an issue with privacy or security.
Hope that helps,