The sweeper units probably will not start next to the satellites, and so would not be shot at by them. The only situation where this would work would be going through a WP. But then, you could only use Drones. Fighters can't warp, after all.
This would be really interesting in a mod where the immunity to mines for fighters and/or drones was turned on. You could sweep a minefield repeatedly even if you didn't have enough sweepers to remove it all at once. That in itself would be more 'balanced' than the current default behavior. Although drones would be difficult to send 'back' through the minefield. I guess fighters would be the way to go for this.