You don't need to build carbon capture plants near people, you can build them anywhere in the world.

So you can put them in places where you have the potential for large amounts of cheap renewable energy that would otherwise be unused. Build solar plants in the middle of the desert, build tidal and wind generation on remote islands. There are plenty of places where green energy projects never got off the ground simply because the cost of transmitting it to places with energy demand was cost prohibitive.

The bigger problem is that simply removing CO2 from the atmosphere is not enough, you have to actually store it somewhere and be confident it will stay locked up for centuries, otherwise the effort is wasted.