Yes they could be against bitcoin since they cannot control it, they could use their power or authority to discourage people from using it. In my country, there are already a lot of news about bitcoin, even the central bank of my country said that btc is not for investment but only for minimum transactions. They are not too direct about it but I do know governments are already watching for btc because it might really pose a threat for them
Same opposite propagandas are happening in my country too. They are clearly trying to scare people so people doesn't invest crypto currencies.
The reason why governments doesn't like blockchain is all about tax issues.