Sure, it’s likely government has better software than what the public has access to, but not by that much. Some NSA software has leaked before and it’s just “good” not mind bending. The best stuff often gets created by university groups collaborating with other universities. Government scavenges from these groups. Their research is published in journals before it reaches classified status. Of course there are some military groups and other directly funded groups but what they make is a small percentage of the best stuff.