Interesting.
My laptop and PC are identical...same programs same files everything. The only difference is that i use my PC everyday and my laptop when out of the office. My laptop doesn't exhibit the same behaviour...i get zero..like you just did.
Thus, even though there has been no change/difference to my PC...i now get many alerts where previously I did not. Odd..??
I've spent a couple additional hours now looking at the Trusteer Rapport software on the clean Windows 7 test install.
Trusteer Rapport adds an icon to the right of the URL bar in Chrome. If you click it you get an option to "Protect this Website"
When you click the Rapport button it then turns that Trusteer icon green.
Interestingly, once I did this and then logged in, Rapport logs a similar line to what you were/are seeing on the one computer.
I logged into the forum here and then to see if it was unique to the forum login, I added Gmail as a Rapport "protected" site the same way and logged into Gmail twice.
Then to test further I chose to "Protect" the Microsoft Account login page the same way and logged into a Microsoft account twice.
Both logged the same line when logging in to Microsoft and Gmail.
Interestingly, the Microsoft login only logged once per login on the Rapport report page but the Gmail login logged a total of 5 entries for 2 logins - I do not know why.
Because the Rapport program generates the same logged line for the Microsoft login page and the Gmail login page (as well as logging multiple log lines for gmail logins) as the forum login, I think this is only a verbose logging within Rapport (the above logged entries were on a clean windows 7 test machine). I believe the Trusteer Rapport log is actually indicating that for sites where the Rapport icon is clicked that it has encrypted the password from the keyboard input on your local machine before it's transmitted to the site to prevent keyloggers which may or may not be on your local machine, although the last line makes it sound ominous. And I do not know why some logins (including gmail in my test above) are logged more than once.