In my opinion this is exactly how it should happen. Each of those small drones uses up mass, so it takes focus keeping mass scoops and drone launchers going, during which time you aren't attacking. It is not something one would do at random simply because it's to expensive, but still possiable if one has to get through a region. In addition, it requires that the mine field layer support their fields if they want them to be effective.
Basically, I think fields should be easy to destroy once found, especially if they aren't being supported.