About the 'logic paradox's chances:
I already addressed this point:
"As for the invasive 'logic paradox' not working - Data/Geordi were sure it would work - and given that their knowledge of the hows and whys of trek tech (even borg tech) vastly surpasses what we posters know (for example, they, too, know the borg adapt and, unlike us, they know much about how the borg do this magic trick), the chances are this 'logic paradox' would have dismantled the borg hive mind."
The chances the logic paradox had of working were very high.
Data and Geordi knew all this from A FEW SECONDS TO MINUTES of poking are the Collective and getting a bunch of access denieds when they tried to get into sections of it?