Earlier quoted context omitted.
I'm not exactly sure how you imagine the collisions to play out. If you think anything gets "stuck" in your foam, you're underestimating the speeds at which objects in orbit move. It's more like shooting a railgun at your impactor. I also recommend Netwon's impact depth approximation: https://en.wikipedia.org/wiki/Impact_depth For the purposes of deorbiting junk it may be sufficient to just impart some delta-v, but y…
I don't have a good feel for the numbers either, but surely if you make the Space Sponge big enough, things will get caught in it. There is almost certainly a better material to use as well, but I don't think either of these practical concerns invalidates the idea. Of course, big enough Space Sponges to make a practical difference would be very visible to the naked eye.
The problem in the end is launch costs. Yes, we're getting better, but that doesn't mean we can shoot up a "visible to the naked eye"-sized impactor. Not to mention what difficulties an object of that size would bring for non-garbage that also occupies those orbits.
Lastly, I have no idea how much research there has been in containing the fragmentation of hypervelocity impacts. But presumably it would be an important part of the mission to not generate more garbage.