Yes, the math doesn't work at all for this. It's a fantasy, an excuse to avoid painful change that would actually work.
We have the available land and the technology and it's only a matter of cost.
If we price carbon pollution properly, with more and larger taxes, the corporations producing most of the CO2 pollution will gladly pay slightly than the taxes less to clean it up.
So, it's only a matter of working backwards from the cost of these machines and their deployment at scale to figure out what the carbon taxes should be and aligning those. Phase in the new taxes as we built out the capture systems and then when we've got scale and weaned ourselves off of the worst carbon polluters, we can lower the taxes to maintenance levels.
Not doing this is pitiful, but as long as people like you keep saying the math doesn't work and using that ignorance as an excuse to not do the one thing that must happen, legislate real carbon taxes, it obviously won't happen.
We have the technology, we lack the political will. That will be the end of humans and much other life on Earth I fear.