Yes, I really want to see that project grow. There was a HN post recently where they gave a lot of fantastic answers to questions about the project: https://news.ycombinator.com/item?id=20403570
Of course, the more we can scale back greenhouse gas emission the less we'll need to extract, so IMO it only makes sense to come at the problem from both sides.
I skimmed their site and I'm yet to read the whitepaper, but I have one question that wasn't so far answered: what about transportation costs? Is this still net carbon negative when you account for the costs of moving all this rock and spreading it on the beaches?
You cannot use a an active mine for this technique, you have to let the stone lie and weather.