This is a really disturbing plan, and it's not even April 1. On the surface it seems to be in the running for "stupidest thing I've ever heard in my whole life".
This sort of thing has been studied for decades by groups with resources that completely eclipse the entire Swiss GDP. Of course they never really said THEY were paying for it.
The kinetic energies involved far exceed fly paper, and a large percentage of the stuff is probably non-ferrous. So their grabber thing might solve those problems. Of course the far more likely scenario is that the debris will puncture their toy and turn it into more space junk.
I read once that if there were 24ct gold bars sitting on the surface of the moon we couldn't afford to go get them. I think that would be downright profitable compared to this farce. At least they didn't say they were going to drive around and collect more than one piece. Changing orbit is the single most extravagant thing you can do. So at least it qualifies as bad science fiction instead of stupid science fantasy.
Maybe their next version will have Fairies on Unicorns packin' Disruptors. They can call it their FUD program.