Not the worst idea in the world. BUT, we're going to need to think carefully about taking million year processes and trying to speed them up to reverse climate change.
FWIW, my preferred approach is ocean-powered olivine weathering, as in Project Vesta. But we'll need multiple approaches.
I also think the decision to accept some long-term risks to alleviate the (frankly terrifying) short/medium-term dangers we face is very different to the decision to exploit natural resources in service of the industrial revolution.