Well... normally, the computer simply gets gray icon and the last communication time stops being updated. There's no other indication of uninstalled client(s) (you said there's some when you open the computer's properties? - what exactly did you mean?)
If I click the computer group, I get a list of all computers in the group with specific details about VPS version etc. If I then click on a particular computer (here "FSI6"), I get a mere detailed screen like this:
Under the heading "ADNM agent" I'm told that no agent is installed (the red square in the picture). But still, I can't tell from the computer list and furthermore, the computer ("FSI6") doesn't appear in the dynamic group "Computers without agent".
So, I have to click all computers to see if they are actually running the agent. It would be much more convenient if (as you mention) the uninstall process would erase the agent information and "reset" the client with regards to virus information.
But it seems that the neccessary info is there (in the detailed view), so maybe it's just a matter of getting the info displayed in the computer list...?!
CheersĀ
JS.