No girl's arrested. They just made up the story to stop negative online trend related to Bal Thackeray. His death made a lot of people to start a worthless debate on facebook and twitter.
First, the girl is arrested and that's confirmed. Second, it is not for you & me to decide how people use their personal Facebook and Twitter accounts. You and I get no say in it - if they want to indulge in 'worthless debates' they should be allowed to. In addition, that should not be held against them in any sort of way.
Calling a debate "worthless" is not the same as disallowing such debates.
Just like one has the right to engage in debates (worthless or not), one also has the right to call out such debates when they are deemed worthless.