At the face value, it’s a rather simple question. Tyson isn’t a destructive person and he wants to improve the world, to add things to it rather than taking things out of the world.
However, if presented with a much simpler example, Tyson would almost always be more likely to choose to dismantle an object than to build one. He enjoys creating things, but Tyson is much more naturally inclined to take them apart to understand them.
Another factor is that Tyson is perfectly happy to sit back and leave the creation to someone else. He enjoys helping the Moriarty Mirrors in their projects and to create his own, but Tyson prefers to take the back seat and simply help the project; taking things apart and breaking them down into components, literally for the Moriarty Mirrors to use or as part of the planning process.
In his work for the web, Tyson is much more proud of tearing down other criminal empires than he is at the process made by the web.