Sorry, there seems to be a bit of miscommunication here.
When I said "I decided to trust it and let Online Armor allow its screen logging", I did not use the term "trust" in the the OA sense of hitting the OA "Trust" button. I "trusted" the application in the more informal, and limited sense, just in so far as telling OA to allow it to act as a screen logger. I did not "trust" it any further than that -- precisely because I wanted to see what else it would try to do, and stop it if need be.
So my question really isn't why OA gave me those alerts. I understand that it alerted me because I